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Finding the Fourth Proportional to 88,424, 122,025.16 and 48,680

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Solution

The fourth proportional to 88,424, 122,025.16 and 48,680 is: 67,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,424 : 122,025.16 = 48,680 : x
  2. Step 2: Convert to fraction form
    88,424/122,025.16 = 48,680/x
  3. Step 3: Cross multiply
    88,424x = 122,025.16 × 48,680
  4. Step 4: Simplify right side
    88,424x = 5,940,184,788.80
  5. Step 5: Solve for x
    x = 5,940,184,788.80/88,424
  6. Step 6: Final answer
    x = 67,178.42

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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.