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Finding the Fourth Proportional to 58,540, 80,785.18 and 31,682.50

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Solution

The fourth proportional to 58,540, 80,785.18 and 31,682.50 is: 43,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,540 : 80,785.18 = 31,682.50 : x
  2. Step 2: Convert to fraction form
    58,540/80,785.18 = 31,682.50/x
  3. Step 3: Cross multiply
    58,540x = 80,785.18 × 31,682.50
  4. Step 4: Simplify right side
    58,540x = 2,559,476,465.35
  5. Step 5: Solve for x
    x = 2,559,476,465.35/58,540
  6. Step 6: Final answer
    x = 43,721.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.