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Finding the Fourth Proportional to 49,736.63, 74,505.02 and 24,700.95

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Solution

The fourth proportional to 49,736.63, 74,505.02 and 24,700.95 is: 37,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,736.63 : 74,505.02 = 24,700.95 : x
  2. Step 2: Convert to fraction form
    49,736.63/74,505.02 = 24,700.95/x
  3. Step 3: Cross multiply
    49,736.63x = 74,505.02 × 24,700.95
  4. Step 4: Simplify right side
    49,736.63x = 1,840,344,650.26
  5. Step 5: Solve for x
    x = 1,840,344,650.26/49,736.63
  6. Step 6: Final answer
    x = 37,001.79

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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.