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Finding the Fourth Proportional to 83,539.32, 115,273.63 and 47,731.65

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Solution

The fourth proportional to 83,539.32, 115,273.63 and 47,731.65 is: 65,863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,539.32 : 115,273.63 = 47,731.65 : x
  2. Step 2: Convert to fraction form
    83,539.32/115,273.63 = 47,731.65/x
  3. Step 3: Cross multiply
    83,539.32x = 115,273.63 × 47,731.65
  4. Step 4: Simplify right side
    83,539.32x = 5,502,200,561.39
  5. Step 5: Solve for x
    x = 5,502,200,561.39/83,539.32
  6. Step 6: Final answer
    x = 65,863.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.