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Finding the Fourth Proportional to 78,236.30, 107,966.12 and 42,426.30

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Solution

The fourth proportional to 78,236.30, 107,966.12 and 42,426.30 is: 58,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,236.30 : 107,966.12 = 42,426.30 : x
  2. Step 2: Convert to fraction form
    78,236.30/107,966.12 = 42,426.30/x
  3. Step 3: Cross multiply
    78,236.30x = 107,966.12 × 42,426.30
  4. Step 4: Simplify right side
    78,236.30x = 4,580,603,103.02
  5. Step 5: Solve for x
    x = 4,580,603,103.02/78,236.30
  6. Step 6: Final answer
    x = 58,548.31

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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.