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Finding the Fourth Proportional to 74,791.32, 112,162.62 and 24,858

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Solution

The fourth proportional to 74,791.32, 112,162.62 and 24,858 is: 37,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,791.32 : 112,162.62 = 24,858 : x
  2. Step 2: Convert to fraction form
    74,791.32/112,162.62 = 24,858/x
  3. Step 3: Cross multiply
    74,791.32x = 112,162.62 × 24,858
  4. Step 4: Simplify right side
    74,791.32x = 2,788,138,407.96
  5. Step 5: Solve for x
    x = 2,788,138,407.96/74,791.32
  6. Step 6: Final answer
    x = 37,278.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.