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Finding the Fourth Proportional to 83,382.40, 115,057.02 and 47,570.32

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Solution

The fourth proportional to 83,382.40, 115,057.02 and 47,570.32 is: 65,640.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,382.40 : 115,057.02 = 47,570.32 : x
  2. Step 2: Convert to fraction form
    83,382.40/115,057.02 = 47,570.32/x
  3. Step 3: Cross multiply
    83,382.40x = 115,057.02 × 47,570.32
  4. Step 4: Simplify right side
    83,382.40x = 5,473,299,259.65
  5. Step 5: Solve for x
    x = 5,473,299,259.65/83,382.40
  6. Step 6: Final answer
    x = 65,640.94

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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.