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Finding the Fourth Proportional to 78,002.38, 107,643.36 and 42,192.28

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Solution

The fourth proportional to 78,002.38, 107,643.36 and 42,192.28 is: 58,225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,002.38 : 107,643.36 = 42,192.28 : x
  2. Step 2: Convert to fraction form
    78,002.38/107,643.36 = 42,192.28/x
  3. Step 3: Cross multiply
    78,002.38x = 107,643.36 × 42,192.28
  4. Step 4: Simplify right side
    78,002.38x = 4,541,718,785.26
  5. Step 5: Solve for x
    x = 4,541,718,785.26/78,002.38
  6. Step 6: Final answer
    x = 58,225.39

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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.