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Finding the Fourth Proportional to 62,262, 85,853.66 and 42,083.82

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Solution

The fourth proportional to 62,262, 85,853.66 and 42,083.82 is: 58,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,262 : 85,853.66 = 42,083.82 : x
  2. Step 2: Convert to fraction form
    62,262/85,853.66 = 42,083.82/x
  3. Step 3: Cross multiply
    62,262x = 85,853.66 × 42,083.82
  4. Step 4: Simplify right side
    62,262x = 3,613,049,763.36
  5. Step 5: Solve for x
    x = 3,613,049,763.36/62,262
  6. Step 6: Final answer
    x = 58,029.77

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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.