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Finding the Fourth Proportional to 31,706.64, 47,562.48 and 10,646.76

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Solution

The fourth proportional to 31,706.64, 47,562.48 and 10,646.76 is: 15,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.64 : 47,562.48 = 10,646.76 : x
  2. Step 2: Convert to fraction form
    31,706.64/47,562.48 = 10,646.76/x
  3. Step 3: Cross multiply
    31,706.64x = 47,562.48 × 10,646.76
  4. Step 4: Simplify right side
    31,706.64x = 506,386,309.56
  5. Step 5: Solve for x
    x = 506,386,309.56/31,706.64
  6. Step 6: Final answer
    x = 15,970.99

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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.