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Finding the Fourth Proportional to 78,383.38, 108,169.86 and 42,574.10

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Solution

The fourth proportional to 78,383.38, 108,169.86 and 42,574.10 is: 58,752.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,383.38 : 108,169.86 = 42,574.10 : x
  2. Step 2: Convert to fraction form
    78,383.38/108,169.86 = 42,574.10/x
  3. Step 3: Cross multiply
    78,383.38x = 108,169.86 × 42,574.10
  4. Step 4: Simplify right side
    78,383.38x = 4,605,234,436.63
  5. Step 5: Solve for x
    x = 4,605,234,436.63/78,383.38
  6. Step 6: Final answer
    x = 58,752.69

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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.