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Finding the Fourth Proportional to 109,986.50, 164,979.76 and 39,865.88

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Solution

The fourth proportional to 109,986.50, 164,979.76 and 39,865.88 is: 59,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,986.50 : 164,979.76 = 39,865.88 : x
  2. Step 2: Convert to fraction form
    109,986.50/164,979.76 = 39,865.88/x
  3. Step 3: Cross multiply
    109,986.50x = 164,979.76 × 39,865.88
  4. Step 4: Simplify right side
    109,986.50x = 6,577,063,314.59
  5. Step 5: Solve for x
    x = 6,577,063,314.59/109,986.50
  6. Step 6: Final answer
    x = 59,798.82

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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.