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Finding the Fourth Proportional to 66,878.52, 92,291.10 and 36,663

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Solution

The fourth proportional to 66,878.52, 92,291.10 and 36,663 is: 50,594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,878.52 : 92,291.10 = 36,663 : x
  2. Step 2: Convert to fraction form
    66,878.52/92,291.10 = 36,663/x
  3. Step 3: Cross multiply
    66,878.52x = 92,291.10 × 36,663
  4. Step 4: Simplify right side
    66,878.52x = 3,383,668,599.30
  5. Step 5: Solve for x
    x = 3,383,668,599.30/66,878.52
  6. Step 6: Final answer
    x = 50,594.25

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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.