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Finding the Fourth Proportional to 30,109.61, 45,174.89 and 13,471.40

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Solution

The fourth proportional to 30,109.61, 45,174.89 and 13,471.40 is: 20,211.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,109.61 : 45,174.89 = 13,471.40 : x
  2. Step 2: Convert to fraction form
    30,109.61/45,174.89 = 13,471.40/x
  3. Step 3: Cross multiply
    30,109.61x = 45,174.89 × 13,471.40
  4. Step 4: Simplify right side
    30,109.61x = 608,568,719.91
  5. Step 5: Solve for x
    x = 608,568,719.91/30,109.61
  6. Step 6: Final answer
    x = 20,211.78

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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.