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Finding the Fourth Proportional to 70,129.72, 96,781.53 and 38,299.96

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Solution

The fourth proportional to 70,129.72, 96,781.53 and 38,299.96 is: 52,855.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,129.72 : 96,781.53 = 38,299.96 : x
  2. Step 2: Convert to fraction form
    70,129.72/96,781.53 = 38,299.96/x
  3. Step 3: Cross multiply
    70,129.72x = 96,781.53 × 38,299.96
  4. Step 4: Simplify right side
    70,129.72x = 3,706,728,727.74
  5. Step 5: Solve for x
    x = 3,706,728,727.74/70,129.72
  6. Step 6: Final answer
    x = 52,855.32

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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.