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Finding the Fourth Proportional to 30,858, 42,552.18 and 26,396.52

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Solution

The fourth proportional to 30,858, 42,552.18 and 26,396.52 is: 36,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858 : 42,552.18 = 26,396.52 : x
  2. Step 2: Convert to fraction form
    30,858/42,552.18 = 26,396.52/x
  3. Step 3: Cross multiply
    30,858x = 42,552.18 × 26,396.52
  4. Step 4: Simplify right side
    30,858x = 1,123,229,470.41
  5. Step 5: Solve for x
    x = 1,123,229,470.41/30,858
  6. Step 6: Final answer
    x = 36,399.94

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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.