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Finding the Fourth Proportional to 31,508.56, 47,251.86 and 9,316

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Solution

The fourth proportional to 31,508.56, 47,251.86 and 9,316 is: 13,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,508.56 : 47,251.86 = 9,316 : x
  2. Step 2: Convert to fraction form
    31,508.56/47,251.86 = 9,316/x
  3. Step 3: Cross multiply
    31,508.56x = 47,251.86 × 9,316
  4. Step 4: Simplify right side
    31,508.56x = 440,198,327.76
  5. Step 5: Solve for x
    x = 440,198,327.76/31,508.56
  6. Step 6: Final answer
    x = 13,970.75

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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.