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Finding the Fourth Proportional to 83,345.38, 115,016.64 and 45,104.94

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Solution

The fourth proportional to 83,345.38, 115,016.64 and 45,104.94 is: 62,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,345.38 : 115,016.64 = 45,104.94 : x
  2. Step 2: Convert to fraction form
    83,345.38/115,016.64 = 45,104.94/x
  3. Step 3: Cross multiply
    83,345.38x = 115,016.64 × 45,104.94
  4. Step 4: Simplify right side
    83,345.38x = 5,187,818,477.06
  5. Step 5: Solve for x
    x = 5,187,818,477.06/83,345.38
  6. Step 6: Final answer
    x = 62,244.82

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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.