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Finding the Fourth Proportional to 76,286.34, 105,278.46 and 42,292.66

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Solution

The fourth proportional to 76,286.34, 105,278.46 and 42,292.66 is: 58,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,286.34 : 105,278.46 = 42,292.66 : x
  2. Step 2: Convert to fraction form
    76,286.34/105,278.46 = 42,292.66/x
  3. Step 3: Cross multiply
    76,286.34x = 105,278.46 × 42,292.66
  4. Step 4: Simplify right side
    76,286.34x = 4,452,506,114.10
  5. Step 5: Solve for x
    x = 4,452,506,114.10/76,286.34
  6. Step 6: Final answer
    x = 58,365.71

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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.