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Finding the Fourth Proportional to 78,144.75, 107,839.80 and 42,335.01

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Solution

The fourth proportional to 78,144.75, 107,839.80 and 42,335.01 is: 58,422.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,144.75 : 107,839.80 = 42,335.01 : x
  2. Step 2: Convert to fraction form
    78,144.75/107,839.80 = 42,335.01/x
  3. Step 3: Cross multiply
    78,144.75x = 107,839.80 × 42,335.01
  4. Step 4: Simplify right side
    78,144.75x = 4,565,399,011.40
  5. Step 5: Solve for x
    x = 4,565,399,011.40/78,144.75
  6. Step 6: Final answer
    x = 58,422.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.