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Finding the Fourth Proportional to 66,928.34, 100,321.63 and 24,205.16

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Solution

The fourth proportional to 66,928.34, 100,321.63 and 24,205.16 is: 36,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,928.34 : 100,321.63 = 24,205.16 : x
  2. Step 2: Convert to fraction form
    66,928.34/100,321.63 = 24,205.16/x
  3. Step 3: Cross multiply
    66,928.34x = 100,321.63 × 24,205.16
  4. Step 4: Simplify right side
    66,928.34x = 2,428,301,105.61
  5. Step 5: Solve for x
    x = 2,428,301,105.61/66,928.34
  6. Step 6: Final answer
    x = 36,282.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.