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Finding the Fourth Proportional to 83,613.39, 115,382.44 and 47,807.34

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Solution

The fourth proportional to 83,613.39, 115,382.44 and 47,807.34 is: 65,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,613.39 : 115,382.44 = 47,807.34 : x
  2. Step 2: Convert to fraction form
    83,613.39/115,382.44 = 47,807.34/x
  3. Step 3: Cross multiply
    83,613.39x = 115,382.44 × 47,807.34
  4. Step 4: Simplify right side
    83,613.39x = 5,516,127,539.11
  5. Step 5: Solve for x
    x = 5,516,127,539.11/83,613.39
  6. Step 6: Final answer
    x = 65,971.82

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Why These Related Problems?

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