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Finding the Fourth Proportional to 76,728.46, 105,888.15 and 42,274.61

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Solution

The fourth proportional to 76,728.46, 105,888.15 and 42,274.61 is: 58,340.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,728.46 : 105,888.15 = 42,274.61 : x
  2. Step 2: Convert to fraction form
    76,728.46/105,888.15 = 42,274.61/x
  3. Step 3: Cross multiply
    76,728.46x = 105,888.15 × 42,274.61
  4. Step 4: Simplify right side
    76,728.46x = 4,476,380,244.87
  5. Step 5: Solve for x
    x = 4,476,380,244.87/76,728.46
  6. Step 6: Final answer
    x = 58,340.55

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