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Finding the Fourth Proportional to 59,686.89, 82,396.08 and 37,894.11

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Solution

The fourth proportional to 59,686.89, 82,396.08 and 37,894.11 is: 52,311.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,686.89 : 82,396.08 = 37,894.11 : x
  2. Step 2: Convert to fraction form
    59,686.89/82,396.08 = 37,894.11/x
  3. Step 3: Cross multiply
    59,686.89x = 82,396.08 × 37,894.11
  4. Step 4: Simplify right side
    59,686.89x = 3,122,326,119.09
  5. Step 5: Solve for x
    x = 3,122,326,119.09/59,686.89
  6. Step 6: Final answer
    x = 52,311.76

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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.