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Finding the Fourth Proportional to 60,702.80, 83,763.74 and 33,842.78

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Solution

The fourth proportional to 60,702.80, 83,763.74 and 33,842.78 is: 46,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,702.80 : 83,763.74 = 33,842.78 : x
  2. Step 2: Convert to fraction form
    60,702.80/83,763.74 = 33,842.78/x
  3. Step 3: Cross multiply
    60,702.80x = 83,763.74 × 33,842.78
  4. Step 4: Simplify right side
    60,702.80x = 2,834,797,824.80
  5. Step 5: Solve for x
    x = 2,834,797,824.80/60,702.80
  6. Step 6: Final answer
    x = 46,699.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.