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Finding the Fourth Proportional to 30,152.80, 45,229.20 and 10,429.30

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Solution

The fourth proportional to 30,152.80, 45,229.20 and 10,429.30 is: 15,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,152.80 : 45,229.20 = 10,429.30 : x
  2. Step 2: Convert to fraction form
    30,152.80/45,229.20 = 10,429.30/x
  3. Step 3: Cross multiply
    30,152.80x = 45,229.20 × 10,429.30
  4. Step 4: Simplify right side
    30,152.80x = 471,708,895.56
  5. Step 5: Solve for x
    x = 471,708,895.56/30,152.80
  6. Step 6: Final answer
    x = 15,643.95

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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.