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Finding the Fourth Proportional to 61,902.30, 92,853.45 and 57,965.70

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Solution

The fourth proportional to 61,902.30, 92,853.45 and 57,965.70 is: 86,948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,902.30 : 92,853.45 = 57,965.70 : x
  2. Step 2: Convert to fraction form
    61,902.30/92,853.45 = 57,965.70/x
  3. Step 3: Cross multiply
    61,902.30x = 92,853.45 × 57,965.70
  4. Step 4: Simplify right side
    61,902.30x = 5,382,315,226.67
  5. Step 5: Solve for x
    x = 5,382,315,226.67/61,902.30
  6. Step 6: Final answer
    x = 86,948.55

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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.