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Finding the Fourth Proportional to 30,344.13, 45,516.24 and 9,569.25

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Solution

The fourth proportional to 30,344.13, 45,516.24 and 9,569.25 is: 14,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,344.13 : 45,516.24 = 9,569.25 : x
  2. Step 2: Convert to fraction form
    30,344.13/45,516.24 = 9,569.25/x
  3. Step 3: Cross multiply
    30,344.13x = 45,516.24 × 9,569.25
  4. Step 4: Simplify right side
    30,344.13x = 435,556,279.62
  5. Step 5: Solve for x
    x = 435,556,279.62/30,344.13
  6. Step 6: Final answer
    x = 14,353.89

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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.