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Finding the Fourth Proportional to 31,468.73, 47,203.22 and 12,749.12

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Solution

The fourth proportional to 31,468.73, 47,203.22 and 12,749.12 is: 19,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,468.73 : 47,203.22 = 12,749.12 : x
  2. Step 2: Convert to fraction form
    31,468.73/47,203.22 = 12,749.12/x
  3. Step 3: Cross multiply
    31,468.73x = 47,203.22 × 12,749.12
  4. Step 4: Simplify right side
    31,468.73x = 601,799,516.17
  5. Step 5: Solve for x
    x = 601,799,516.17/31,468.73
  6. Step 6: Final answer
    x = 19,123.73

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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.