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Finding the Fourth Proportional to 50,042, 69,058.44 and 27,686.48

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Solution

The fourth proportional to 50,042, 69,058.44 and 27,686.48 is: 38,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,042 : 69,058.44 = 27,686.48 : x
  2. Step 2: Convert to fraction form
    50,042/69,058.44 = 27,686.48/x
  3. Step 3: Cross multiply
    50,042x = 69,058.44 × 27,686.48
  4. Step 4: Simplify right side
    50,042x = 1,911,985,117.89
  5. Step 5: Solve for x
    x = 1,911,985,117.89/50,042
  6. Step 6: Final answer
    x = 38,207.61

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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.