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Finding the Fourth Proportional to 31,993.50, 48,007.56 and 15,577.50

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Solution

The fourth proportional to 31,993.50, 48,007.56 and 15,577.50 is: 23,374.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,993.50 : 48,007.56 = 15,577.50 : x
  2. Step 2: Convert to fraction form
    31,993.50/48,007.56 = 15,577.50/x
  3. Step 3: Cross multiply
    31,993.50x = 48,007.56 × 15,577.50
  4. Step 4: Simplify right side
    31,993.50x = 747,837,765.90
  5. Step 5: Solve for x
    x = 747,837,765.90/31,993.50
  6. Step 6: Final answer
    x = 23,374.68

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1.5x scale

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.