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Finding the Fourth Proportional to 31,833.38, 47,755.04 and 9,641.50

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Solution

The fourth proportional to 31,833.38, 47,755.04 and 9,641.50 is: 14,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.38 : 47,755.04 = 9,641.50 : x
  2. Step 2: Convert to fraction form
    31,833.38/47,755.04 = 9,641.50/x
  3. Step 3: Cross multiply
    31,833.38x = 47,755.04 × 9,641.50
  4. Step 4: Simplify right side
    31,833.38x = 460,430,050.56
  5. Step 5: Solve for x
    x = 460,430,050.56/31,833.38
  6. Step 6: Final answer
    x = 14,463.75

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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.