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Finding the Fourth Proportional to 70,700.75, 97,567.70 and 38,869.88

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Solution

The fourth proportional to 70,700.75, 97,567.70 and 38,869.88 is: 53,640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,700.75 : 97,567.70 = 38,869.88 : x
  2. Step 2: Convert to fraction form
    70,700.75/97,567.70 = 38,869.88/x
  3. Step 3: Cross multiply
    70,700.75x = 97,567.70 × 38,869.88
  4. Step 4: Simplify right side
    70,700.75x = 3,792,444,108.69
  5. Step 5: Solve for x
    x = 3,792,444,108.69/70,700.75
  6. Step 6: Final answer
    x = 53,640.79

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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.