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Finding the Fourth Proportional to 83,886.67, 125,857.68 and 34,008.72

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Solution

The fourth proportional to 83,886.67, 125,857.68 and 34,008.72 is: 51,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,886.67 : 125,857.68 = 34,008.72 : x
  2. Step 2: Convert to fraction form
    83,886.67/125,857.68 = 34,008.72/x
  3. Step 3: Cross multiply
    83,886.67x = 125,857.68 × 34,008.72
  4. Step 4: Simplify right side
    83,886.67x = 4,280,258,598.97
  5. Step 5: Solve for x
    x = 4,280,258,598.97/83,886.67
  6. Step 6: Final answer
    x = 51,024.30

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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.