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Finding the Fourth Proportional to 32,394.40, 48,527.13 and 25,742.27

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Solution

The fourth proportional to 32,394.40, 48,527.13 and 25,742.27 is: 38,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,394.40 : 48,527.13 = 25,742.27 : x
  2. Step 2: Convert to fraction form
    32,394.40/48,527.13 = 25,742.27/x
  3. Step 3: Cross multiply
    32,394.40x = 48,527.13 × 25,742.27
  4. Step 4: Simplify right side
    32,394.40x = 1,249,198,700.64
  5. Step 5: Solve for x
    x = 1,249,198,700.64/32,394.40
  6. Step 6: Final answer
    x = 38,562.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.