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Finding the Fourth Proportional to 66,971.60, 100,284.60 and 53,147.60

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Solution

The fourth proportional to 66,971.60, 100,284.60 and 53,147.60 is: 79,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,971.60 : 100,284.60 = 53,147.60 : x
  2. Step 2: Convert to fraction form
    66,971.60/100,284.60 = 53,147.60/x
  3. Step 3: Cross multiply
    66,971.60x = 100,284.60 × 53,147.60
  4. Step 4: Simplify right side
    66,971.60x = 5,329,885,806.96
  5. Step 5: Solve for x
    x = 5,329,885,806.96/66,971.60
  6. Step 6: Final answer
    x = 79,584.27

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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.