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Finding the Fourth Proportional to 78,505.25, 108,334.92 and 44,516.84

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Solution

The fourth proportional to 78,505.25, 108,334.92 and 44,516.84 is: 61,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,505.25 : 108,334.92 = 44,516.84 : x
  2. Step 2: Convert to fraction form
    78,505.25/108,334.92 = 44,516.84/x
  3. Step 3: Cross multiply
    78,505.25x = 108,334.92 × 44,516.84
  4. Step 4: Simplify right side
    78,505.25x = 4,822,727,758.38
  5. Step 5: Solve for x
    x = 4,822,727,758.38/78,505.25
  6. Step 6: Final answer
    x = 61,431.92

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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.