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Finding the Fourth Proportional to 70,567.38, 97,385.49 and 38,738.70

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Solution

The fourth proportional to 70,567.38, 97,385.49 and 38,738.70 is: 53,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,567.38 : 97,385.49 = 38,738.70 : x
  2. Step 2: Convert to fraction form
    70,567.38/97,385.49 = 38,738.70/x
  3. Step 3: Cross multiply
    70,567.38x = 97,385.49 × 38,738.70
  4. Step 4: Simplify right side
    70,567.38x = 3,772,587,281.46
  5. Step 5: Solve for x
    x = 3,772,587,281.46/70,567.38
  6. Step 6: Final answer
    x = 53,460.78

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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.