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Finding the Fourth Proportional to 67,036.32, 92,493.52 and 37,965.16

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Solution

The fourth proportional to 67,036.32, 92,493.52 and 37,965.16 is: 52,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,036.32 : 92,493.52 = 37,965.16 : x
  2. Step 2: Convert to fraction form
    67,036.32/92,493.52 = 37,965.16/x
  3. Step 3: Cross multiply
    67,036.32x = 92,493.52 × 37,965.16
  4. Step 4: Simplify right side
    67,036.32x = 3,511,531,285.76
  5. Step 5: Solve for x
    x = 3,511,531,285.76/67,036.32
  6. Step 6: Final answer
    x = 52,382.52

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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.