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Finding the Fourth Proportional to 61,211.14, 91,805.94 and 16,827.19

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Solution

The fourth proportional to 61,211.14, 91,805.94 and 16,827.19 is: 25,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,211.14 : 91,805.94 = 16,827.19 : x
  2. Step 2: Convert to fraction form
    61,211.14/91,805.94 = 16,827.19/x
  3. Step 3: Cross multiply
    61,211.14x = 91,805.94 × 16,827.19
  4. Step 4: Simplify right side
    61,211.14x = 1,544,835,995.51
  5. Step 5: Solve for x
    x = 1,544,835,995.51/61,211.14
  6. Step 6: Final answer
    x = 25,237.82

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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.