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Finding the Fourth Proportional to 49,900.25, 74,828.49 and 18,713.63

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Solution

The fourth proportional to 49,900.25, 74,828.49 and 18,713.63 is: 28,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,900.25 : 74,828.49 = 18,713.63 : x
  2. Step 2: Convert to fraction form
    49,900.25/74,828.49 = 18,713.63/x
  3. Step 3: Cross multiply
    49,900.25x = 74,828.49 × 18,713.63
  4. Step 4: Simplify right side
    49,900.25x = 1,400,312,301.18
  5. Step 5: Solve for x
    x = 1,400,312,301.18/49,900.25
  6. Step 6: Final answer
    x = 28,062.23

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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.