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Finding the Fourth Proportional to 78,647.10, 108,532.08 and 42,837

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Solution

The fourth proportional to 78,647.10, 108,532.08 and 42,837 is: 59,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,647.10 : 108,532.08 = 42,837 : x
  2. Step 2: Convert to fraction form
    78,647.10/108,532.08 = 42,837/x
  3. Step 3: Cross multiply
    78,647.10x = 108,532.08 × 42,837
  4. Step 4: Simplify right side
    78,647.10x = 4,649,188,710.96
  5. Step 5: Solve for x
    x = 4,649,188,710.96/78,647.10
  6. Step 6: Final answer
    x = 59,114.56

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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.