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Finding the Fourth Proportional to 66,863.52, 92,270.40 and 36,648

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Solution

The fourth proportional to 66,863.52, 92,270.40 and 36,648 is: 50,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,863.52 : 92,270.40 = 36,648 : x
  2. Step 2: Convert to fraction form
    66,863.52/92,270.40 = 36,648/x
  3. Step 3: Cross multiply
    66,863.52x = 92,270.40 × 36,648
  4. Step 4: Simplify right side
    66,863.52x = 3,381,525,619.20
  5. Step 5: Solve for x
    x = 3,381,525,619.20/66,863.52
  6. Step 6: Final answer
    x = 50,573.55

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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.