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Finding the Fourth Proportional to 42,838.21, 59,108.52 and 27,728.77

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Solution

The fourth proportional to 42,838.21, 59,108.52 and 27,728.77 is: 38,260.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,838.21 : 59,108.52 = 27,728.77 : x
  2. Step 2: Convert to fraction form
    42,838.21/59,108.52 = 27,728.77/x
  3. Step 3: Cross multiply
    42,838.21x = 59,108.52 × 27,728.77
  4. Step 4: Simplify right side
    42,838.21x = 1,639,006,556.12
  5. Step 5: Solve for x
    x = 1,639,006,556.12/42,838.21
  6. Step 6: Final answer
    x = 38,260.39

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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.