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Finding the Fourth Proportional to 30,306.34, 45,462.09 and 9,251.11

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Solution

The fourth proportional to 30,306.34, 45,462.09 and 9,251.11 is: 13,877.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,306.34 : 45,462.09 = 9,251.11 : x
  2. Step 2: Convert to fraction form
    30,306.34/45,462.09 = 9,251.11/x
  3. Step 3: Cross multiply
    30,306.34x = 45,462.09 × 9,251.11
  4. Step 4: Simplify right side
    30,306.34x = 420,574,795.42
  5. Step 5: Solve for x
    x = 420,574,795.42/30,306.34
  6. Step 6: Final answer
    x = 13,877.45

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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.