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Finding the Fourth Proportional to 66,297, 91,312.38 and 57,344.88

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Solution

The fourth proportional to 66,297, 91,312.38 and 57,344.88 is: 78,982.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,297 : 91,312.38 = 57,344.88 : x
  2. Step 2: Convert to fraction form
    66,297/91,312.38 = 57,344.88/x
  3. Step 3: Cross multiply
    66,297x = 91,312.38 × 57,344.88
  4. Step 4: Simplify right side
    66,297x = 5,236,297,473.61
  5. Step 5: Solve for x
    x = 5,236,297,473.61/66,297
  6. Step 6: Final answer
    x = 78,982.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.