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Finding the Fourth Proportional to 38,474.82, 53,074.98 and 26,517.60

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Solution

The fourth proportional to 38,474.82, 53,074.98 and 26,517.60 is: 36,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,474.82 : 53,074.98 = 26,517.60 : x
  2. Step 2: Convert to fraction form
    38,474.82/53,074.98 = 26,517.60/x
  3. Step 3: Cross multiply
    38,474.82x = 53,074.98 × 26,517.60
  4. Step 4: Simplify right side
    38,474.82x = 1,407,421,089.65
  5. Step 5: Solve for x
    x = 1,407,421,089.65/38,474.82
  6. Step 6: Final answer
    x = 36,580.32

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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.