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Finding the Fourth Proportional to 32,095.29, 44,292.71 and 17,948.10

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Solution

The fourth proportional to 32,095.29, 44,292.71 and 17,948.10 is: 24,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,095.29 : 44,292.71 = 17,948.10 : x
  2. Step 2: Convert to fraction form
    32,095.29/44,292.71 = 17,948.10/x
  3. Step 3: Cross multiply
    32,095.29x = 44,292.71 × 17,948.10
  4. Step 4: Simplify right side
    32,095.29x = 794,969,988.35
  5. Step 5: Solve for x
    x = 794,969,988.35/32,095.29
  6. Step 6: Final answer
    x = 24,769.05

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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.