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Finding the Fourth Proportional to 47,307.76, 70,961.65 and 32,471.71

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Solution

The fourth proportional to 47,307.76, 70,961.65 and 32,471.71 is: 48,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,307.76 : 70,961.65 = 32,471.71 : x
  2. Step 2: Convert to fraction form
    47,307.76/70,961.65 = 32,471.71/x
  3. Step 3: Cross multiply
    47,307.76x = 70,961.65 × 32,471.71
  4. Step 4: Simplify right side
    47,307.76x = 2,304,246,119.92
  5. Step 5: Solve for x
    x = 2,304,246,119.92/47,307.76
  6. Step 6: Final answer
    x = 48,707.57

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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.