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Finding the Fourth Proportional to 42,052.34, 57,987.02 and 41,431.88

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Solution

The fourth proportional to 42,052.34, 57,987.02 and 41,431.88 is: 57,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,052.34 : 57,987.02 = 41,431.88 : x
  2. Step 2: Convert to fraction form
    42,052.34/57,987.02 = 41,431.88/x
  3. Step 3: Cross multiply
    42,052.34x = 57,987.02 × 41,431.88
  4. Step 4: Simplify right side
    42,052.34x = 2,402,511,254.20
  5. Step 5: Solve for x
    x = 2,402,511,254.20/42,052.34
  6. Step 6: Final answer
    x = 57,131.45

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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.