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Finding the Fourth Proportional to 31,882.58, 47,823.78 and 9,695.86

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Solution

The fourth proportional to 31,882.58, 47,823.78 and 9,695.86 is: 14,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882.58 : 47,823.78 = 9,695.86 : x
  2. Step 2: Convert to fraction form
    31,882.58/47,823.78 = 9,695.86/x
  3. Step 3: Cross multiply
    31,882.58x = 47,823.78 × 9,695.86
  4. Step 4: Simplify right side
    31,882.58x = 463,692,675.55
  5. Step 5: Solve for x
    x = 463,692,675.55/31,882.58
  6. Step 6: Final answer
    x = 14,543.76

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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.