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Finding the Fourth Proportional to 32,093.76, 44,288.16 and 17,946.24

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Solution

The fourth proportional to 32,093.76, 44,288.16 and 17,946.24 is: 24,765.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,093.76 : 44,288.16 = 17,946.24 : x
  2. Step 2: Convert to fraction form
    32,093.76/44,288.16 = 17,946.24/x
  3. Step 3: Cross multiply
    32,093.76x = 44,288.16 × 17,946.24
  4. Step 4: Simplify right side
    32,093.76x = 794,805,948.52
  5. Step 5: Solve for x
    x = 794,805,948.52/32,093.76
  6. Step 6: Final answer
    x = 24,765.12

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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.