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Finding the Fourth Proportional to 66,718.14, 100,116.50 and 24,627.84

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Solution

The fourth proportional to 66,718.14, 100,116.50 and 24,627.84 is: 36,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,718.14 : 100,116.50 = 24,627.84 : x
  2. Step 2: Convert to fraction form
    66,718.14/100,116.50 = 24,627.84/x
  3. Step 3: Cross multiply
    66,718.14x = 100,116.50 × 24,627.84
  4. Step 4: Simplify right side
    66,718.14x = 2,465,653,020.22
  5. Step 5: Solve for x
    x = 2,465,653,020.22/66,718.14
  6. Step 6: Final answer
    x = 36,956.26

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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.