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Finding the Fourth Proportional to 31,959.60, 47,948.76 and 9,470.88

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Solution

The fourth proportional to 31,959.60, 47,948.76 and 9,470.88 is: 14,209.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,959.60 : 47,948.76 = 9,470.88 : x
  2. Step 2: Convert to fraction form
    31,959.60/47,948.76 = 9,470.88/x
  3. Step 3: Cross multiply
    31,959.60x = 47,948.76 × 9,470.88
  4. Step 4: Simplify right side
    31,959.60x = 454,116,952.11
  5. Step 5: Solve for x
    x = 454,116,952.11/31,959.60
  6. Step 6: Final answer
    x = 14,209.09

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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.