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Finding the Fourth Proportional to 30,232.62, 45,364.29 and 13,589.30

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Solution

The fourth proportional to 30,232.62, 45,364.29 and 13,589.30 is: 20,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232.62 : 45,364.29 = 13,589.30 : x
  2. Step 2: Convert to fraction form
    30,232.62/45,364.29 = 13,589.30/x
  3. Step 3: Cross multiply
    30,232.62x = 45,364.29 × 13,589.30
  4. Step 4: Simplify right side
    30,232.62x = 616,468,946.10
  5. Step 5: Solve for x
    x = 616,468,946.10/30,232.62
  6. Step 6: Final answer
    x = 20,390.85

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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.