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Finding the Fourth Proportional to 41,646.88, 57,472.68 and 22,784.40

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Solution

The fourth proportional to 41,646.88, 57,472.68 and 22,784.40 is: 31,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,646.88 : 57,472.68 = 22,784.40 : x
  2. Step 2: Convert to fraction form
    41,646.88/57,472.68 = 22,784.40/x
  3. Step 3: Cross multiply
    41,646.88x = 57,472.68 × 22,784.40
  4. Step 4: Simplify right side
    41,646.88x = 1,309,480,530.19
  5. Step 5: Solve for x
    x = 1,309,480,530.19/41,646.88
  6. Step 6: Final answer
    x = 31,442.46

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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.