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Finding the Fourth Proportional to 32,141.76, 44,354.40 and 17,800.80

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Solution

The fourth proportional to 32,141.76, 44,354.40 and 17,800.80 is: 24,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,141.76 : 44,354.40 = 17,800.80 : x
  2. Step 2: Convert to fraction form
    32,141.76/44,354.40 = 17,800.80/x
  3. Step 3: Cross multiply
    32,141.76x = 44,354.40 × 17,800.80
  4. Step 4: Simplify right side
    32,141.76x = 789,543,803.52
  5. Step 5: Solve for x
    x = 789,543,803.52/32,141.76
  6. Step 6: Final answer
    x = 24,564.42

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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.