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Finding the Fourth Proportional to 30,391.20, 45,582.24 and 9,612

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Solution

The fourth proportional to 30,391.20, 45,582.24 and 9,612 is: 14,416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,391.20 : 45,582.24 = 9,612 : x
  2. Step 2: Convert to fraction form
    30,391.20/45,582.24 = 9,612/x
  3. Step 3: Cross multiply
    30,391.20x = 45,582.24 × 9,612
  4. Step 4: Simplify right side
    30,391.20x = 438,136,490.88
  5. Step 5: Solve for x
    x = 438,136,490.88/30,391.20
  6. Step 6: Final answer
    x = 14,416.56

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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.