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Finding the Fourth Proportional to 27,499.53, 37,949.13 and 14,924.28

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Solution

The fourth proportional to 27,499.53, 37,949.13 and 14,924.28 is: 20,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,499.53 : 37,949.13 = 14,924.28 : x
  2. Step 2: Convert to fraction form
    27,499.53/37,949.13 = 14,924.28/x
  3. Step 3: Cross multiply
    27,499.53x = 37,949.13 × 14,924.28
  4. Step 4: Simplify right side
    27,499.53x = 566,363,441.88
  5. Step 5: Solve for x
    x = 566,363,441.88/27,499.53
  6. Step 6: Final answer
    x = 20,595.39

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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.