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Finding the Fourth Proportional to 98,523.38, 135,962.42 and 56,081.91

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Solution

The fourth proportional to 98,523.38, 135,962.42 and 56,081.91 is: 77,393.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,523.38 : 135,962.42 = 56,081.91 : x
  2. Step 2: Convert to fraction form
    98,523.38/135,962.42 = 56,081.91/x
  3. Step 3: Cross multiply
    98,523.38x = 135,962.42 × 56,081.91
  4. Step 4: Simplify right side
    98,523.38x = 7,625,031,921.41
  5. Step 5: Solve for x
    x = 7,625,031,921.41/98,523.38
  6. Step 6: Final answer
    x = 77,393.13

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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.