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Finding the Fourth Proportional to 30,288.54, 45,437.49 and 9,507.18

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Solution

The fourth proportional to 30,288.54, 45,437.49 and 9,507.18 is: 14,262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,288.54 : 45,437.49 = 9,507.18 : x
  2. Step 2: Convert to fraction form
    30,288.54/45,437.49 = 9,507.18/x
  3. Step 3: Cross multiply
    30,288.54x = 45,437.49 × 9,507.18
  4. Step 4: Simplify right side
    30,288.54x = 431,982,396.18
  5. Step 5: Solve for x
    x = 431,982,396.18/30,288.54
  6. Step 6: Final answer
    x = 14,262.24

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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.