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Finding the Fourth Proportional to 32,562, 48,842.96 and 21,387.87

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Solution

The fourth proportional to 32,562, 48,842.96 and 21,387.87 is: 32,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,562 : 48,842.96 = 21,387.87 : x
  2. Step 2: Convert to fraction form
    32,562/48,842.96 = 21,387.87/x
  3. Step 3: Cross multiply
    32,562x = 48,842.96 × 21,387.87
  4. Step 4: Simplify right side
    32,562x = 1,044,646,771.96
  5. Step 5: Solve for x
    x = 1,044,646,771.96/32,562
  6. Step 6: Final answer
    x = 32,081.78

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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.