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Finding the Fourth Proportional to 41,327.88, 57,032.67 and 22,465

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Solution

The fourth proportional to 41,327.88, 57,032.67 and 22,465 is: 31,001.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,327.88 : 57,032.67 = 22,465 : x
  2. Step 2: Convert to fraction form
    41,327.88/57,032.67 = 22,465/x
  3. Step 3: Cross multiply
    41,327.88x = 57,032.67 × 22,465
  4. Step 4: Simplify right side
    41,327.88x = 1,281,238,931.55
  5. Step 5: Solve for x
    x = 1,281,238,931.55/41,327.88
  6. Step 6: Final answer
    x = 31,001.81

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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.