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Finding the Fourth Proportional to 56,863.84, 78,449.16 and 37,752.88

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Solution

The fourth proportional to 56,863.84, 78,449.16 and 37,752.88 is: 52,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,863.84 : 78,449.16 = 37,752.88 : x
  2. Step 2: Convert to fraction form
    56,863.84/78,449.16 = 37,752.88/x
  3. Step 3: Cross multiply
    56,863.84x = 78,449.16 × 37,752.88
  4. Step 4: Simplify right side
    56,863.84x = 2,961,681,723.58
  5. Step 5: Solve for x
    x = 2,961,681,723.58/56,863.84
  6. Step 6: Final answer
    x = 52,083.74

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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.