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Finding the Fourth Proportional to 35,759.16, 49,346.15 and 19,842.66

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Solution

The fourth proportional to 35,759.16, 49,346.15 and 19,842.66 is: 27,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,759.16 : 49,346.15 = 19,842.66 : x
  2. Step 2: Convert to fraction form
    35,759.16/49,346.15 = 19,842.66/x
  3. Step 3: Cross multiply
    35,759.16x = 49,346.15 × 19,842.66
  4. Step 4: Simplify right side
    35,759.16x = 979,158,777.55
  5. Step 5: Solve for x
    x = 979,158,777.55/35,759.16
  6. Step 6: Final answer
    x = 27,382.04

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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.