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Finding the Fourth Proportional to 37,842, 52,135.02 and 29,881.32

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Solution

The fourth proportional to 37,842, 52,135.02 and 29,881.32 is: 41,167.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842 : 52,135.02 = 29,881.32 : x
  2. Step 2: Convert to fraction form
    37,842/52,135.02 = 29,881.32/x
  3. Step 3: Cross multiply
    37,842x = 52,135.02 × 29,881.32
  4. Step 4: Simplify right side
    37,842x = 1,557,863,215.83
  5. Step 5: Solve for x
    x = 1,557,863,215.83/37,842
  6. Step 6: Final answer
    x = 41,167.57

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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.