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Finding the Fourth Proportional to 67,006.84, 100,524.84 and 20,258.50

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Solution

The fourth proportional to 67,006.84, 100,524.84 and 20,258.50 is: 30,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,006.84 : 100,524.84 = 20,258.50 : x
  2. Step 2: Convert to fraction form
    67,006.84/100,524.84 = 20,258.50/x
  3. Step 3: Cross multiply
    67,006.84x = 100,524.84 × 20,258.50
  4. Step 4: Simplify right side
    67,006.84x = 2,036,482,471.14
  5. Step 5: Solve for x
    x = 2,036,482,471.14/67,006.84
  6. Step 6: Final answer
    x = 30,392.16

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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.