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Finding the Fourth Proportional to 45,825.60, 68,738.40 and 32,462.40

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Solution

The fourth proportional to 45,825.60, 68,738.40 and 32,462.40 is: 48,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,825.60 : 68,738.40 = 32,462.40 : x
  2. Step 2: Convert to fraction form
    45,825.60/68,738.40 = 32,462.40/x
  3. Step 3: Cross multiply
    45,825.60x = 68,738.40 × 32,462.40
  4. Step 4: Simplify right side
    45,825.60x = 2,231,413,436.16
  5. Step 5: Solve for x
    x = 2,231,413,436.16/45,825.60
  6. Step 6: Final answer
    x = 48,693.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.