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Finding the Fourth Proportional to 78,246.34, 107,980 and 42,436.34

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Solution

The fourth proportional to 78,246.34, 107,980 and 42,436.34 is: 58,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,246.34 : 107,980 = 42,436.34 : x
  2. Step 2: Convert to fraction form
    78,246.34/107,980 = 42,436.34/x
  3. Step 3: Cross multiply
    78,246.34x = 107,980 × 42,436.34
  4. Step 4: Simplify right side
    78,246.34x = 4,582,275,993.20
  5. Step 5: Solve for x
    x = 4,582,275,993.20/78,246.34
  6. Step 6: Final answer
    x = 58,562.18

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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.