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Finding the Fourth Proportional to 82,110.30, 123,136.65 and 42,654.30

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Solution

The fourth proportional to 82,110.30, 123,136.65 and 42,654.30 is: 63,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,110.30 : 123,136.65 = 42,654.30 : x
  2. Step 2: Convert to fraction form
    82,110.30/123,136.65 = 42,654.30/x
  3. Step 3: Cross multiply
    82,110.30x = 123,136.65 × 42,654.30
  4. Step 4: Simplify right side
    82,110.30x = 5,252,307,610.10
  5. Step 5: Solve for x
    x = 5,252,307,610.10/82,110.30
  6. Step 6: Final answer
    x = 63,966.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.