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Finding the Fourth Proportional to 30,309.16, 45,462.66 and 9,248.34

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Solution

The fourth proportional to 30,309.16, 45,462.66 and 9,248.34 is: 13,872.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309.16 : 45,462.66 = 9,248.34 : x
  2. Step 2: Convert to fraction form
    30,309.16/45,462.66 = 9,248.34/x
  3. Step 3: Cross multiply
    30,309.16x = 45,462.66 × 9,248.34
  4. Step 4: Simplify right side
    30,309.16x = 420,454,136.98
  5. Step 5: Solve for x
    x = 420,454,136.98/30,309.16
  6. Step 6: Final answer
    x = 13,872.18

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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.