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Finding the Fourth Proportional to 70,966.38, 97,934.25 and 39,136.44

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Solution

The fourth proportional to 70,966.38, 97,934.25 and 39,136.44 is: 54,008.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,966.38 : 97,934.25 = 39,136.44 : x
  2. Step 2: Convert to fraction form
    70,966.38/97,934.25 = 39,136.44/x
  3. Step 3: Cross multiply
    70,966.38x = 97,934.25 × 39,136.44
  4. Step 4: Simplify right side
    70,966.38x = 3,832,797,899.07
  5. Step 5: Solve for x
    x = 3,832,797,899.07/70,966.38
  6. Step 6: Final answer
    x = 54,008.64

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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.