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Finding the Fourth Proportional to 41,561.44, 57,316.80 and 32,488

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Solution

The fourth proportional to 41,561.44, 57,316.80 and 32,488 is: 44,803.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,561.44 : 57,316.80 = 32,488 : x
  2. Step 2: Convert to fraction form
    41,561.44/57,316.80 = 32,488/x
  3. Step 3: Cross multiply
    41,561.44x = 57,316.80 × 32,488
  4. Step 4: Simplify right side
    41,561.44x = 1,862,108,198.40
  5. Step 5: Solve for x
    x = 1,862,108,198.40/41,561.44
  6. Step 6: Final answer
    x = 44,803.75

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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.