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Finding the Fourth Proportional to 47,902.99, 71,854.49 and 14,623.23

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Solution

The fourth proportional to 47,902.99, 71,854.49 and 14,623.23 is: 21,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,902.99 : 71,854.49 = 14,623.23 : x
  2. Step 2: Convert to fraction form
    47,902.99/71,854.49 = 14,623.23/x
  3. Step 3: Cross multiply
    47,902.99x = 71,854.49 × 14,623.23
  4. Step 4: Simplify right side
    47,902.99x = 1,050,744,733.80
  5. Step 5: Solve for x
    x = 1,050,744,733.80/47,902.99
  6. Step 6: Final answer
    x = 21,934.85

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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.