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Finding the Fourth Proportional to 98,714.96, 136,227.72 and 54,002

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Solution

The fourth proportional to 98,714.96, 136,227.72 and 54,002 is: 74,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,714.96 : 136,227.72 = 54,002 : x
  2. Step 2: Convert to fraction form
    98,714.96/136,227.72 = 54,002/x
  3. Step 3: Cross multiply
    98,714.96x = 136,227.72 × 54,002
  4. Step 4: Simplify right side
    98,714.96x = 7,356,569,335.44
  5. Step 5: Solve for x
    x = 7,356,569,335.44/98,714.96
  6. Step 6: Final answer
    x = 74,523.35

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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.