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Finding the Fourth Proportional to 45,842.32, 68,788.92 and 24,781.84

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Solution

The fourth proportional to 45,842.32, 68,788.92 and 24,781.84 is: 37,186.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,842.32 : 68,788.92 = 24,781.84 : x
  2. Step 2: Convert to fraction form
    45,842.32/68,788.92 = 24,781.84/x
  3. Step 3: Cross multiply
    45,842.32x = 68,788.92 × 24,781.84
  4. Step 4: Simplify right side
    45,842.32x = 1,704,716,009.21
  5. Step 5: Solve for x
    x = 1,704,716,009.21/45,842.32
  6. Step 6: Final answer
    x = 37,186.51

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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.