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Finding the Fourth Proportional to 50,504.54, 75,749.51 and 15,434.78

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Solution

The fourth proportional to 50,504.54, 75,749.51 and 15,434.78 is: 23,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,504.54 : 75,749.51 = 15,434.78 : x
  2. Step 2: Convert to fraction form
    50,504.54/75,749.51 = 15,434.78/x
  3. Step 3: Cross multiply
    50,504.54x = 75,749.51 × 15,434.78
  4. Step 4: Simplify right side
    50,504.54x = 1,169,176,566.04
  5. Step 5: Solve for x
    x = 1,169,176,566.04/50,504.54
  6. Step 6: Final answer
    x = 23,149.93

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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.