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Finding the Fourth Proportional to 30,265.30, 45,397.92 and 10,530

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Solution

The fourth proportional to 30,265.30, 45,397.92 and 10,530 is: 15,794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,265.30 : 45,397.92 = 10,530 : x
  2. Step 2: Convert to fraction form
    30,265.30/45,397.92 = 10,530/x
  3. Step 3: Cross multiply
    30,265.30x = 45,397.92 × 10,530
  4. Step 4: Simplify right side
    30,265.30x = 478,040,077.86
  5. Step 5: Solve for x
    x = 478,040,077.86/30,265.30
  6. Step 6: Final answer
    x = 15,794.99

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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.