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Finding the Fourth Proportional to 31,756.69, 47,618.18 and 10,689.71

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Solution

The fourth proportional to 31,756.69, 47,618.18 and 10,689.71 is: 16,028.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,756.69 : 47,618.18 = 10,689.71 : x
  2. Step 2: Convert to fraction form
    31,756.69/47,618.18 = 10,689.71/x
  3. Step 3: Cross multiply
    31,756.69x = 47,618.18 × 10,689.71
  4. Step 4: Simplify right side
    31,756.69x = 509,024,283.47
  5. Step 5: Solve for x
    x = 509,024,283.47/31,756.69
  6. Step 6: Final answer
    x = 16,028.88

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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.