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Finding the Fourth Proportional to 83,486.64, 125,189.88 and 39,076.08

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Solution

The fourth proportional to 83,486.64, 125,189.88 and 39,076.08 is: 58,595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,486.64 : 125,189.88 = 39,076.08 : x
  2. Step 2: Convert to fraction form
    83,486.64/125,189.88 = 39,076.08/x
  3. Step 3: Cross multiply
    83,486.64x = 125,189.88 × 39,076.08
  4. Step 4: Simplify right side
    83,486.64x = 4,891,929,766.07
  5. Step 5: Solve for x
    x = 4,891,929,766.07/83,486.64
  6. Step 6: Final answer
    x = 58,595.36

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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.