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Finding the Fourth Proportional to 31,999.52, 48,016.56 and 15,583.52

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Solution

The fourth proportional to 31,999.52, 48,016.56 and 15,583.52 is: 23,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.52 : 48,016.56 = 15,583.52 : x
  2. Step 2: Convert to fraction form
    31,999.52/48,016.56 = 15,583.52/x
  3. Step 3: Cross multiply
    31,999.52x = 48,016.56 × 15,583.52
  4. Step 4: Simplify right side
    31,999.52x = 748,267,023.09
  5. Step 5: Solve for x
    x = 748,267,023.09/31,999.52
  6. Step 6: Final answer
    x = 23,383.70

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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.