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Finding the Fourth Proportional to 41,201.19, 56,854.53 and 27,790.65

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Solution

The fourth proportional to 41,201.19, 56,854.53 and 27,790.65 is: 38,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,201.19 : 56,854.53 = 27,790.65 : x
  2. Step 2: Convert to fraction form
    41,201.19/56,854.53 = 27,790.65/x
  3. Step 3: Cross multiply
    41,201.19x = 56,854.53 × 27,790.65
  4. Step 4: Simplify right side
    41,201.19x = 1,580,024,344.14
  5. Step 5: Solve for x
    x = 1,580,024,344.14/41,201.19
  6. Step 6: Final answer
    x = 38,349.00

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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.