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Finding the Fourth Proportional to 109,988.50, 164,982.76 and 39,867.88

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Solution

The fourth proportional to 109,988.50, 164,982.76 and 39,867.88 is: 59,801.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,988.50 : 164,982.76 = 39,867.88 : x
  2. Step 2: Convert to fraction form
    109,988.50/164,982.76 = 39,867.88/x
  3. Step 3: Cross multiply
    109,988.50x = 164,982.76 × 39,867.88
  4. Step 4: Simplify right side
    109,988.50x = 6,577,512,877.75
  5. Step 5: Solve for x
    x = 6,577,512,877.75/109,988.50
  6. Step 6: Final answer
    x = 59,801.82

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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.