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Finding the Fourth Proportional to 69,877.38, 96,430.90 and 38,046.41

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Solution

The fourth proportional to 69,877.38, 96,430.90 and 38,046.41 is: 52,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,877.38 : 96,430.90 = 38,046.41 : x
  2. Step 2: Convert to fraction form
    69,877.38/96,430.90 = 38,046.41/x
  3. Step 3: Cross multiply
    69,877.38x = 96,430.90 × 38,046.41
  4. Step 4: Simplify right side
    69,877.38x = 3,668,848,980.80
  5. Step 5: Solve for x
    x = 3,668,848,980.80/69,877.38
  6. Step 6: Final answer
    x = 52,504.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.