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Finding the Fourth Proportional to 31,874.67, 47,812.04 and 8,501.10

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Solution

The fourth proportional to 31,874.67, 47,812.04 and 8,501.10 is: 12,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.67 : 47,812.04 = 8,501.10 : x
  2. Step 2: Convert to fraction form
    31,874.67/47,812.04 = 8,501.10/x
  3. Step 3: Cross multiply
    31,874.67x = 47,812.04 × 8,501.10
  4. Step 4: Simplify right side
    31,874.67x = 406,454,890.74
  5. Step 5: Solve for x
    x = 406,454,890.74/31,874.67
  6. Step 6: Final answer
    x = 12,751.66

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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.