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Finding the Fourth Proportional to 31,627.84, 47,445.40 and 8,256.10

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Solution

The fourth proportional to 31,627.84, 47,445.40 and 8,256.10 is: 12,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,627.84 : 47,445.40 = 8,256.10 : x
  2. Step 2: Convert to fraction form
    31,627.84/47,445.40 = 8,256.10/x
  3. Step 3: Cross multiply
    31,627.84x = 47,445.40 × 8,256.10
  4. Step 4: Simplify right side
    31,627.84x = 391,713,966.94
  5. Step 5: Solve for x
    x = 391,713,966.94/31,627.84
  6. Step 6: Final answer
    x = 12,385.10

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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.