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Finding the Fourth Proportional to 41,334.34, 57,041.80 and 22,471.87

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Solution

The fourth proportional to 41,334.34, 57,041.80 and 22,471.87 is: 31,011.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,334.34 : 57,041.80 = 22,471.87 : x
  2. Step 2: Convert to fraction form
    41,334.34/57,041.80 = 22,471.87/x
  3. Step 3: Cross multiply
    41,334.34x = 57,041.80 × 22,471.87
  4. Step 4: Simplify right side
    41,334.34x = 1,281,835,914.17
  5. Step 5: Solve for x
    x = 1,281,835,914.17/41,334.34
  6. Step 6: Final answer
    x = 31,011.40

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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.