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Finding the Fourth Proportional to 41,842.87, 57,742.93 and 22,722.46

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Solution

The fourth proportional to 41,842.87, 57,742.93 and 22,722.46 is: 31,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,842.87 : 57,742.93 = 22,722.46 : x
  2. Step 2: Convert to fraction form
    41,842.87/57,742.93 = 22,722.46/x
  3. Step 3: Cross multiply
    41,842.87x = 57,742.93 × 22,722.46
  4. Step 4: Simplify right side
    41,842.87x = 1,312,061,417.21
  5. Step 5: Solve for x
    x = 1,312,061,417.21/41,842.87
  6. Step 6: Final answer
    x = 31,356.87

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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.