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Finding the Fourth Proportional to 31,641.99, 47,466.23 and 11,937.12

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Solution

The fourth proportional to 31,641.99, 47,466.23 and 11,937.12 is: 17,906.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,641.99 : 47,466.23 = 11,937.12 : x
  2. Step 2: Convert to fraction form
    31,641.99/47,466.23 = 11,937.12/x
  3. Step 3: Cross multiply
    31,641.99x = 47,466.23 × 11,937.12
  4. Step 4: Simplify right side
    31,641.99x = 566,610,023.77
  5. Step 5: Solve for x
    x = 566,610,023.77/31,641.99
  6. Step 6: Final answer
    x = 17,906.90

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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.