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Finding the Fourth Proportional to 49,952.20, 74,920.02 and 14,883.64

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Solution

The fourth proportional to 49,952.20, 74,920.02 and 14,883.64 is: 22,322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,952.20 : 74,920.02 = 14,883.64 : x
  2. Step 2: Convert to fraction form
    49,952.20/74,920.02 = 14,883.64/x
  3. Step 3: Cross multiply
    49,952.20x = 74,920.02 × 14,883.64
  4. Step 4: Simplify right side
    49,952.20x = 1,115,082,606.47
  5. Step 5: Solve for x
    x = 1,115,082,606.47/49,952.20
  6. Step 6: Final answer
    x = 22,322.99

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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.