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Finding the Fourth Proportional to 61,130.80, 91,696.51 and 27,827.57

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Solution

The fourth proportional to 61,130.80, 91,696.51 and 27,827.57 is: 41,741.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,130.80 : 91,696.51 = 27,827.57 : x
  2. Step 2: Convert to fraction form
    61,130.80/91,696.51 = 27,827.57/x
  3. Step 3: Cross multiply
    61,130.80x = 91,696.51 × 27,827.57
  4. Step 4: Simplify right side
    61,130.80x = 2,551,691,234.97
  5. Step 5: Solve for x
    x = 2,551,691,234.97/61,130.80
  6. Step 6: Final answer
    x = 41,741.50

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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.