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Finding the Fourth Proportional to 45,842.72, 63,278.16 and 27,949.28

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Solution

The fourth proportional to 45,842.72, 63,278.16 and 27,949.28 is: 38,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,842.72 : 63,278.16 = 27,949.28 : x
  2. Step 2: Convert to fraction form
    45,842.72/63,278.16 = 27,949.28/x
  3. Step 3: Cross multiply
    45,842.72x = 63,278.16 × 27,949.28
  4. Step 4: Simplify right side
    45,842.72x = 1,768,579,011.72
  5. Step 5: Solve for x
    x = 1,768,579,011.72/45,842.72
  6. Step 6: Final answer
    x = 38,579.28

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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.