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Finding the Fourth Proportional to 31,177.52, 46,751.12 and 10,394

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Solution

The fourth proportional to 31,177.52, 46,751.12 and 10,394 is: 15,585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,177.52 : 46,751.12 = 10,394 : x
  2. Step 2: Convert to fraction form
    31,177.52/46,751.12 = 10,394/x
  3. Step 3: Cross multiply
    31,177.52x = 46,751.12 × 10,394
  4. Step 4: Simplify right side
    31,177.52x = 485,931,141.28
  5. Step 5: Solve for x
    x = 485,931,141.28/31,177.52
  6. Step 6: Final answer
    x = 15,585.95

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Why These Related Problems?

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