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Finding the Fourth Proportional to 83,844.38, 115,706.75 and 45,604.77

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Solution

The fourth proportional to 83,844.38, 115,706.75 and 45,604.77 is: 62,935.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,844.38 : 115,706.75 = 45,604.77 : x
  2. Step 2: Convert to fraction form
    83,844.38/115,706.75 = 45,604.77/x
  3. Step 3: Cross multiply
    83,844.38x = 115,706.75 × 45,604.77
  4. Step 4: Simplify right side
    83,844.38x = 5,276,779,493.17
  5. Step 5: Solve for x
    x = 5,276,779,493.17/83,844.38
  6. Step 6: Final answer
    x = 62,935.40

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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.