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Finding the Fourth Proportional to 78,466.96, 108,286.50 and 42,659.38

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Solution

The fourth proportional to 78,466.96, 108,286.50 and 42,659.38 is: 58,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,466.96 : 108,286.50 = 42,659.38 : x
  2. Step 2: Convert to fraction form
    78,466.96/108,286.50 = 42,659.38/x
  3. Step 3: Cross multiply
    78,466.96x = 108,286.50 × 42,659.38
  4. Step 4: Simplify right side
    78,466.96x = 4,619,434,952.37
  5. Step 5: Solve for x
    x = 4,619,434,952.37/78,466.96
  6. Step 6: Final answer
    x = 58,871.08

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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.