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Finding the Fourth Proportional to 66,796, 100,200.64 and 24,687.12

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Solution

The fourth proportional to 66,796, 100,200.64 and 24,687.12 is: 37,033.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,796 : 100,200.64 = 24,687.12 : x
  2. Step 2: Convert to fraction form
    66,796/100,200.64 = 24,687.12/x
  3. Step 3: Cross multiply
    66,796x = 100,200.64 × 24,687.12
  4. Step 4: Simplify right side
    66,796x = 2,473,665,223.76
  5. Step 5: Solve for x
    x = 2,473,665,223.76/66,796
  6. Step 6: Final answer
    x = 37,033.13

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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.