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Finding the Fourth Proportional to 49,383.68, 74,060.16 and 16,544

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Solution

The fourth proportional to 49,383.68, 74,060.16 and 16,544 is: 24,810.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,383.68 : 74,060.16 = 16,544 : x
  2. Step 2: Convert to fraction form
    49,383.68/74,060.16 = 16,544/x
  3. Step 3: Cross multiply
    49,383.68x = 74,060.16 × 16,544
  4. Step 4: Simplify right side
    49,383.68x = 1,225,251,287.04
  5. Step 5: Solve for x
    x = 1,225,251,287.04/49,383.68
  6. Step 6: Final answer
    x = 24,810.85

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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.