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Finding the Fourth Proportional to 32,041.40, 44,216.87 and 17,702.15

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Solution

The fourth proportional to 32,041.40, 44,216.87 and 17,702.15 is: 24,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,041.40 : 44,216.87 = 17,702.15 : x
  2. Step 2: Convert to fraction form
    32,041.40/44,216.87 = 17,702.15/x
  3. Step 3: Cross multiply
    32,041.40x = 44,216.87 × 17,702.15
  4. Step 4: Simplify right side
    32,041.40x = 782,733,355.68
  5. Step 5: Solve for x
    x = 782,733,355.68/32,041.40
  6. Step 6: Final answer
    x = 24,428.82

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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.