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Finding the Fourth Proportional to 31,516.88, 47,280.95 and 10,458.19

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Solution

The fourth proportional to 31,516.88, 47,280.95 and 10,458.19 is: 15,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,516.88 : 47,280.95 = 10,458.19 : x
  2. Step 2: Convert to fraction form
    31,516.88/47,280.95 = 10,458.19/x
  3. Step 3: Cross multiply
    31,516.88x = 47,280.95 × 10,458.19
  4. Step 4: Simplify right side
    31,516.88x = 494,473,066.42
  5. Step 5: Solve for x
    x = 494,473,066.42/31,516.88
  6. Step 6: Final answer
    x = 15,689.15

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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.