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Finding the Fourth Proportional to 32,119.76, 44,318.12 and 20,178.74

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Solution

The fourth proportional to 32,119.76, 44,318.12 and 20,178.74 is: 27,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,119.76 : 44,318.12 = 20,178.74 : x
  2. Step 2: Convert to fraction form
    32,119.76/44,318.12 = 20,178.74/x
  3. Step 3: Cross multiply
    32,119.76x = 44,318.12 × 20,178.74
  4. Step 4: Simplify right side
    32,119.76x = 894,283,820.77
  5. Step 5: Solve for x
    x = 894,283,820.77/32,119.76
  6. Step 6: Final answer
    x = 27,842.17

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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.