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Finding the Fourth Proportional to 31,752.58, 47,628.87 and 10,964.74

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Solution

The fourth proportional to 31,752.58, 47,628.87 and 10,964.74 is: 16,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,752.58 : 47,628.87 = 10,964.74 : x
  2. Step 2: Convert to fraction form
    31,752.58/47,628.87 = 10,964.74/x
  3. Step 3: Cross multiply
    31,752.58x = 47,628.87 × 10,964.74
  4. Step 4: Simplify right side
    31,752.58x = 522,238,176.04
  5. Step 5: Solve for x
    x = 522,238,176.04/31,752.58
  6. Step 6: Final answer
    x = 16,447.11

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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.