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Finding the Fourth Proportional to 30,158.64, 45,232.92 and 9,380.52

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Solution

The fourth proportional to 30,158.64, 45,232.92 and 9,380.52 is: 14,069.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,158.64 : 45,232.92 = 9,380.52 : x
  2. Step 2: Convert to fraction form
    30,158.64/45,232.92 = 9,380.52/x
  3. Step 3: Cross multiply
    30,158.64x = 45,232.92 × 9,380.52
  4. Step 4: Simplify right side
    30,158.64x = 424,308,310.72
  5. Step 5: Solve for x
    x = 424,308,310.72/30,158.64
  6. Step 6: Final answer
    x = 14,069.21

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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.