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Finding the Fourth Proportional to 49,887.66, 74,815.35 and 16,598.78

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Solution

The fourth proportional to 49,887.66, 74,815.35 and 16,598.78 is: 24,892.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,887.66 : 74,815.35 = 16,598.78 : x
  2. Step 2: Convert to fraction form
    49,887.66/74,815.35 = 16,598.78/x
  3. Step 3: Cross multiply
    49,887.66x = 74,815.35 × 16,598.78
  4. Step 4: Simplify right side
    49,887.66x = 1,241,843,161.20
  5. Step 5: Solve for x
    x = 1,241,843,161.20/49,887.66
  6. Step 6: Final answer
    x = 24,892.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.