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Finding the Fourth Proportional to 41,201.97, 61,802.50 and 31,267.74

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Solution

The fourth proportional to 41,201.97, 61,802.50 and 31,267.74 is: 46,901.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,201.97 : 61,802.50 = 31,267.74 : x
  2. Step 2: Convert to fraction form
    41,201.97/61,802.50 = 31,267.74/x
  3. Step 3: Cross multiply
    41,201.97x = 61,802.50 × 31,267.74
  4. Step 4: Simplify right side
    41,201.97x = 1,932,424,423.18
  5. Step 5: Solve for x
    x = 1,932,424,423.18/41,201.97
  6. Step 6: Final answer
    x = 46,901.26

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