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Finding the Fourth Proportional to 32,095.86, 44,292.87 and 17,948.40

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Solution

The fourth proportional to 32,095.86, 44,292.87 and 17,948.40 is: 24,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,095.86 : 44,292.87 = 17,948.40 : x
  2. Step 2: Convert to fraction form
    32,095.86/44,292.87 = 17,948.40/x
  3. Step 3: Cross multiply
    32,095.86x = 44,292.87 × 17,948.40
  4. Step 4: Simplify right side
    32,095.86x = 794,986,147.91
  5. Step 5: Solve for x
    x = 794,986,147.91/32,095.86
  6. Step 6: Final answer
    x = 24,769.12

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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.