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Finding the Fourth Proportional to 78,236.33, 107,966.19 and 42,426.33

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Solution

The fourth proportional to 78,236.33, 107,966.19 and 42,426.33 is: 58,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,236.33 : 107,966.19 = 42,426.33 : x
  2. Step 2: Convert to fraction form
    78,236.33/107,966.19 = 42,426.33/x
  3. Step 3: Cross multiply
    78,236.33x = 107,966.19 × 42,426.33
  4. Step 4: Simplify right side
    78,236.33x = 4,580,609,205.78
  5. Step 5: Solve for x
    x = 4,580,609,205.78/78,236.33
  6. Step 6: Final answer
    x = 58,548.37

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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.