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Finding the Fourth Proportional to 123,934.68, 185,774.13 and 49,024.47

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Solution

The fourth proportional to 123,934.68, 185,774.13 and 49,024.47 is: 73,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,934.68 : 185,774.13 = 49,024.47 : x
  2. Step 2: Convert to fraction form
    123,934.68/185,774.13 = 49,024.47/x
  3. Step 3: Cross multiply
    123,934.68x = 185,774.13 × 49,024.47
  4. Step 4: Simplify right side
    123,934.68x = 9,107,478,262.96
  5. Step 5: Solve for x
    x = 9,107,478,262.96/123,934.68
  6. Step 6: Final answer
    x = 73,486.12

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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.