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Finding the Fourth Proportional to 78,604.38, 108,470.64 and 42,794.52

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Solution

The fourth proportional to 78,604.38, 108,470.64 and 42,794.52 is: 59,054.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,604.38 : 108,470.64 = 42,794.52 : x
  2. Step 2: Convert to fraction form
    78,604.38/108,470.64 = 42,794.52/x
  3. Step 3: Cross multiply
    78,604.38x = 108,470.64 × 42,794.52
  4. Step 4: Simplify right side
    78,604.38x = 4,641,948,972.89
  5. Step 5: Solve for x
    x = 4,641,948,972.89/78,604.38
  6. Step 6: Final answer
    x = 59,054.58

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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.