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Finding the Fourth Proportional to 31,660.95, 47,472.57 and 10,595.88

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Solution

The fourth proportional to 31,660.95, 47,472.57 and 10,595.88 is: 15,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,660.95 : 47,472.57 = 10,595.88 : x
  2. Step 2: Convert to fraction form
    31,660.95/47,472.57 = 10,595.88/x
  3. Step 3: Cross multiply
    31,660.95x = 47,472.57 × 10,595.88
  4. Step 4: Simplify right side
    31,660.95x = 503,013,655.01
  5. Step 5: Solve for x
    x = 503,013,655.01/31,660.95
  6. Step 6: Final answer
    x = 15,887.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.