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Finding the Fourth Proportional to 45,778.16, 63,179.16 and 27,883.64

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Solution

The fourth proportional to 45,778.16, 63,179.16 and 27,883.64 is: 38,482.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,778.16 : 63,179.16 = 27,883.64 : x
  2. Step 2: Convert to fraction form
    45,778.16/63,179.16 = 27,883.64/x
  3. Step 3: Cross multiply
    45,778.16x = 63,179.16 × 27,883.64
  4. Step 4: Simplify right side
    45,778.16x = 1,761,664,952.94
  5. Step 5: Solve for x
    x = 1,761,664,952.94/45,778.16
  6. Step 6: Final answer
    x = 38,482.65

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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.