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Finding the Fourth Proportional to 41,665.87, 57,499 and 22,802.99

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Solution

The fourth proportional to 41,665.87, 57,499 and 22,802.99 is: 31,468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,665.87 : 57,499 = 22,802.99 : x
  2. Step 2: Convert to fraction form
    41,665.87/57,499 = 22,802.99/x
  3. Step 3: Cross multiply
    41,665.87x = 57,499 × 22,802.99
  4. Step 4: Simplify right side
    41,665.87x = 1,311,149,122.01
  5. Step 5: Solve for x
    x = 1,311,149,122.01/41,665.87
  6. Step 6: Final answer
    x = 31,468.18

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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.