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Finding the Fourth Proportional to 42,879.82, 59,175.98 and 24,971.93

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Solution

The fourth proportional to 42,879.82, 59,175.98 and 24,971.93 is: 34,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,879.82 : 59,175.98 = 24,971.93 : x
  2. Step 2: Convert to fraction form
    42,879.82/59,175.98 = 24,971.93/x
  3. Step 3: Cross multiply
    42,879.82x = 59,175.98 × 24,971.93
  4. Step 4: Simplify right side
    42,879.82x = 1,477,738,305.38
  5. Step 5: Solve for x
    x = 1,477,738,305.38/42,879.82
  6. Step 6: Final answer
    x = 34,462.33

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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.