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Finding the Fourth Proportional to 49,714.56, 74,575.49 and 14,655.74

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Solution

The fourth proportional to 49,714.56, 74,575.49 and 14,655.74 is: 21,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,714.56 : 74,575.49 = 14,655.74 : x
  2. Step 2: Convert to fraction form
    49,714.56/74,575.49 = 14,655.74/x
  3. Step 3: Cross multiply
    49,714.56x = 74,575.49 × 14,655.74
  4. Step 4: Simplify right side
    49,714.56x = 1,092,958,545.66
  5. Step 5: Solve for x
    x = 1,092,958,545.66/49,714.56
  6. Step 6: Final answer
    x = 21,984.68

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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.