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Finding the Fourth Proportional to 38,663,854.40, 57,993,938.40 and 13,102,356.80

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Solution

The fourth proportional to 38,663,854.40, 57,993,938.40 and 13,102,356.80 is: 19,652,910.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,663,854.40 : 57,993,938.40 = 13,102,356.80 : x
  2. Step 2: Convert to fraction form
    38,663,854.40/57,993,938.40 = 13,102,356.80/x
  3. Step 3: Cross multiply
    38,663,854.40x = 57,993,938.40 × 13,102,356.80
  4. Step 4: Simplify right side
    38,663,854.40x = 759,857,273,154,021.12
  5. Step 5: Solve for x
    x = 759,857,273,154,021.12/38,663,854.40
  6. Step 6: Final answer
    x = 19,652,910.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.