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Finding the Fourth Proportional to 42,879.23, 59,153.41 and 27,776.98

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Solution

The fourth proportional to 42,879.23, 59,153.41 and 27,776.98 is: 38,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,879.23 : 59,153.41 = 27,776.98 : x
  2. Step 2: Convert to fraction form
    42,879.23/59,153.41 = 27,776.98/x
  3. Step 3: Cross multiply
    42,879.23x = 59,153.41 × 27,776.98
  4. Step 4: Simplify right side
    42,879.23x = 1,643,103,234.39
  5. Step 5: Solve for x
    x = 1,643,103,234.39/42,879.23
  6. Step 6: Final answer
    x = 38,319.33

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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.