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Finding the Fourth Proportional to 41,114.86, 61,689.89 and 13,037.22

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Solution

The fourth proportional to 41,114.86, 61,689.89 and 13,037.22 is: 19,561.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,114.86 : 61,689.89 = 13,037.22 : x
  2. Step 2: Convert to fraction form
    41,114.86/61,689.89 = 13,037.22/x
  3. Step 3: Cross multiply
    41,114.86x = 61,689.89 × 13,037.22
  4. Step 4: Simplify right side
    41,114.86x = 804,264,667.71
  5. Step 5: Solve for x
    x = 804,264,667.71/41,114.86
  6. Step 6: Final answer
    x = 19,561.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.