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Finding the Fourth Proportional to 47,882.52, 71,854.74 and 21,585.66

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Solution

The fourth proportional to 47,882.52, 71,854.74 and 21,585.66 is: 32,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,882.52 : 71,854.74 = 21,585.66 : x
  2. Step 2: Convert to fraction form
    47,882.52/71,854.74 = 21,585.66/x
  3. Step 3: Cross multiply
    47,882.52x = 71,854.74 × 21,585.66
  4. Step 4: Simplify right side
    47,882.52x = 1,551,031,987.03
  5. Step 5: Solve for x
    x = 1,551,031,987.03/47,882.52
  6. Step 6: Final answer
    x = 32,392.45

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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.