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Finding the Fourth Proportional to 33,178.62, 45,831.28 and 26,511

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Solution

The fourth proportional to 33,178.62, 45,831.28 and 26,511 is: 36,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,178.62 : 45,831.28 = 26,511 : x
  2. Step 2: Convert to fraction form
    33,178.62/45,831.28 = 26,511/x
  3. Step 3: Cross multiply
    33,178.62x = 45,831.28 × 26,511
  4. Step 4: Simplify right side
    33,178.62x = 1,215,033,064.08
  5. Step 5: Solve for x
    x = 1,215,033,064.08/33,178.62
  6. Step 6: Final answer
    x = 36,620.96

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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.