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Finding the Fourth Proportional to 60,428.12, 90,651.36 and 30,829.78

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Solution

The fourth proportional to 60,428.12, 90,651.36 and 30,829.78 is: 46,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,428.12 : 90,651.36 = 30,829.78 : x
  2. Step 2: Convert to fraction form
    60,428.12/90,651.36 = 30,829.78/x
  3. Step 3: Cross multiply
    60,428.12x = 90,651.36 × 30,829.78
  4. Step 4: Simplify right side
    60,428.12x = 2,794,761,485.50
  5. Step 5: Solve for x
    x = 2,794,761,485.50/60,428.12
  6. Step 6: Final answer
    x = 46,249.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.