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Finding the Fourth Proportional to 66,206.14, 99,278.00 and 24,056.50

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Solution

The fourth proportional to 66,206.14, 99,278.00 and 24,056.50 is: 36,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,206.14 : 99,278.00 = 24,056.50 : x
  2. Step 2: Convert to fraction form
    66,206.14/99,278.00 = 24,056.50/x
  3. Step 3: Cross multiply
    66,206.14x = 99,278.00 × 24,056.50
  4. Step 4: Simplify right side
    66,206.14x = 2,388,281,086.72
  5. Step 5: Solve for x
    x = 2,388,281,086.72/66,206.14
  6. Step 6: Final answer
    x = 36,073.41

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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.