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Finding the Fourth Proportional to 30,292.80, 45,439.20 and 9,232.80

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Solution

The fourth proportional to 30,292.80, 45,439.20 and 9,232.80 is: 13,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292.80 : 45,439.20 = 9,232.80 : x
  2. Step 2: Convert to fraction form
    30,292.80/45,439.20 = 9,232.80/x
  3. Step 3: Cross multiply
    30,292.80x = 45,439.20 × 9,232.80
  4. Step 4: Simplify right side
    30,292.80x = 419,531,045.76
  5. Step 5: Solve for x
    x = 419,531,045.76/30,292.80
  6. Step 6: Final answer
    x = 13,849.20

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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.