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Finding the Fourth Proportional to 32,089.32, 44,283.14 and 17,942.12

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Solution

The fourth proportional to 32,089.32, 44,283.14 and 17,942.12 is: 24,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.32 : 44,283.14 = 17,942.12 : x
  2. Step 2: Convert to fraction form
    32,089.32/44,283.14 = 17,942.12/x
  3. Step 3: Cross multiply
    32,089.32x = 44,283.14 × 17,942.12
  4. Step 4: Simplify right side
    32,089.32x = 794,533,411.86
  5. Step 5: Solve for x
    x = 794,533,411.86/32,089.32
  6. Step 6: Final answer
    x = 24,760.06

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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.