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Finding the Fourth Proportional to 31,833.98, 47,745.66 and 9,642.08

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Solution

The fourth proportional to 31,833.98, 47,745.66 and 9,642.08 is: 14,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.98 : 47,745.66 = 9,642.08 : x
  2. Step 2: Convert to fraction form
    31,833.98/47,745.66 = 9,642.08/x
  3. Step 3: Cross multiply
    31,833.98x = 47,745.66 × 9,642.08
  4. Step 4: Simplify right side
    31,833.98x = 460,367,234.64
  5. Step 5: Solve for x
    x = 460,367,234.64/31,833.98
  6. Step 6: Final answer
    x = 14,461.51

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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.