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Finding the Fourth Proportional to 41,457.71, 57,211.70 and 22,594.84

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Solution

The fourth proportional to 41,457.71, 57,211.70 and 22,594.84 is: 31,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,457.71 : 57,211.70 = 22,594.84 : x
  2. Step 2: Convert to fraction form
    41,457.71/57,211.70 = 22,594.84/x
  3. Step 3: Cross multiply
    41,457.71x = 57,211.70 × 22,594.84
  4. Step 4: Simplify right side
    41,457.71x = 1,292,689,207.63
  5. Step 5: Solve for x
    x = 1,292,689,207.63/41,457.71
  6. Step 6: Final answer
    x = 31,180.91

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