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Finding the Fourth Proportional to 73,851.75, 101,915.42 and 42,039

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Solution

The fourth proportional to 73,851.75, 101,915.42 and 42,039 is: 58,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,851.75 : 101,915.42 = 42,039 : x
  2. Step 2: Convert to fraction form
    73,851.75/101,915.42 = 42,039/x
  3. Step 3: Cross multiply
    73,851.75x = 101,915.42 × 42,039
  4. Step 4: Simplify right side
    73,851.75x = 4,284,422,131.19
  5. Step 5: Solve for x
    x = 4,284,422,131.19/73,851.75
  6. Step 6: Final answer
    x = 58,013.82

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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.