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Finding the Fourth Proportional to 78,382.38, 108,168.47 and 42,573.09

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Solution

The fourth proportional to 78,382.38, 108,168.47 and 42,573.09 is: 58,751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,382.38 : 108,168.47 = 42,573.09 : x
  2. Step 2: Convert to fraction form
    78,382.38/108,168.47 = 42,573.09/x
  3. Step 3: Cross multiply
    78,382.38x = 108,168.47 × 42,573.09
  4. Step 4: Simplify right side
    78,382.38x = 4,605,065,795.61
  5. Step 5: Solve for x
    x = 4,605,065,795.61/78,382.38
  6. Step 6: Final answer
    x = 58,751.29

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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.