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Finding the Fourth Proportional to 38,513.40, 57,672.90 and 30,737.40

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Solution

The fourth proportional to 38,513.40, 57,672.90 and 30,737.40 is: 46,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,513.40 : 57,672.90 = 30,737.40 : x
  2. Step 2: Convert to fraction form
    38,513.40/57,672.90 = 30,737.40/x
  3. Step 3: Cross multiply
    38,513.40x = 57,672.90 × 30,737.40
  4. Step 4: Simplify right side
    38,513.40x = 1,772,714,996.46
  5. Step 5: Solve for x
    x = 1,772,714,996.46/38,513.40
  6. Step 6: Final answer
    x = 46,028.53

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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.