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Finding the Fourth Proportional to 91,714.28, 137,610.96 and 49,624

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Solution

The fourth proportional to 91,714.28, 137,610.96 and 49,624 is: 74,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,714.28 : 137,610.96 = 49,624 : x
  2. Step 2: Convert to fraction form
    91,714.28/137,610.96 = 49,624/x
  3. Step 3: Cross multiply
    91,714.28x = 137,610.96 × 49,624
  4. Step 4: Simplify right side
    91,714.28x = 6,828,806,279.04
  5. Step 5: Solve for x
    x = 6,828,806,279.04/91,714.28
  6. Step 6: Final answer
    x = 74,457.39

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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.