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Finding the Fourth Proportional to 31,417.75, 47,126.63 and 8,044.19

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Solution

The fourth proportional to 31,417.75, 47,126.63 and 8,044.19 is: 12,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.75 : 47,126.63 = 8,044.19 : x
  2. Step 2: Convert to fraction form
    31,417.75/47,126.63 = 8,044.19/x
  3. Step 3: Cross multiply
    31,417.75x = 47,126.63 × 8,044.19
  4. Step 4: Simplify right side
    31,417.75x = 379,095,565.78
  5. Step 5: Solve for x
    x = 379,095,565.78/31,417.75
  6. Step 6: Final answer
    x = 12,066.29

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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.