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Finding the Fourth Proportional to 31,737, 43,798.49 and 17,588.94

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Solution

The fourth proportional to 31,737, 43,798.49 and 17,588.94 is: 24,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737 : 43,798.49 = 17,588.94 : x
  2. Step 2: Convert to fraction form
    31,737/43,798.49 = 17,588.94/x
  3. Step 3: Cross multiply
    31,737x = 43,798.49 × 17,588.94
  4. Step 4: Simplify right side
    31,737x = 770,369,012.70
  5. Step 5: Solve for x
    x = 770,369,012.70/31,737
  6. Step 6: Final answer
    x = 24,273.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.