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Finding the Fourth Proportional to 50,677.78, 69,929.28 and 28,013.72

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Solution

The fourth proportional to 50,677.78, 69,929.28 and 28,013.72 is: 38,655.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,677.78 : 69,929.28 = 28,013.72 : x
  2. Step 2: Convert to fraction form
    50,677.78/69,929.28 = 28,013.72/x
  3. Step 3: Cross multiply
    50,677.78x = 69,929.28 × 28,013.72
  4. Step 4: Simplify right side
    50,677.78x = 1,958,979,269.72
  5. Step 5: Solve for x
    x = 1,958,979,269.72/50,677.78
  6. Step 6: Final answer
    x = 38,655.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.