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Finding the Fourth Proportional to 31,584, 47,360.13 and 10,516.59

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Solution

The fourth proportional to 31,584, 47,360.13 and 10,516.59 is: 15,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,584 : 47,360.13 = 10,516.59 : x
  2. Step 2: Convert to fraction form
    31,584/47,360.13 = 10,516.59/x
  3. Step 3: Cross multiply
    31,584x = 47,360.13 × 10,516.59
  4. Step 4: Simplify right side
    31,584x = 498,067,069.56
  5. Step 5: Solve for x
    x = 498,067,069.56/31,584
  6. Step 6: Final answer
    x = 15,769.60

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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.