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Finding the Fourth Proportional to 32,204.34, 48,304.98 and 10,017.18

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Solution

The fourth proportional to 32,204.34, 48,304.98 and 10,017.18 is: 15,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204.34 : 48,304.98 = 10,017.18 : x
  2. Step 2: Convert to fraction form
    32,204.34/48,304.98 = 10,017.18/x
  3. Step 3: Cross multiply
    32,204.34x = 48,304.98 × 10,017.18
  4. Step 4: Simplify right side
    32,204.34x = 483,879,679.56
  5. Step 5: Solve for x
    x = 483,879,679.56/32,204.34
  6. Step 6: Final answer
    x = 15,025.29

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