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Finding the Fourth Proportional to 123,967.74, 185,877.69 and 49,098.63

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Solution

The fourth proportional to 123,967.74, 185,877.69 and 49,098.63 is: 73,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,967.74 : 185,877.69 = 49,098.63 : x
  2. Step 2: Convert to fraction form
    123,967.74/185,877.69 = 49,098.63/x
  3. Step 3: Cross multiply
    123,967.74x = 185,877.69 × 49,098.63
  4. Step 4: Simplify right side
    123,967.74x = 9,126,338,997.18
  5. Step 5: Solve for x
    x = 9,126,338,997.18/123,967.74
  6. Step 6: Final answer
    x = 73,618.66

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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.