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Finding the Fourth Proportional to 30,216.38, 45,319.70 and 21,424.64

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Solution

The fourth proportional to 30,216.38, 45,319.70 and 21,424.64 is: 32,133.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,216.38 : 45,319.70 = 21,424.64 : x
  2. Step 2: Convert to fraction form
    30,216.38/45,319.70 = 21,424.64/x
  3. Step 3: Cross multiply
    30,216.38x = 45,319.70 × 21,424.64
  4. Step 4: Simplify right side
    30,216.38x = 970,958,084.37
  5. Step 5: Solve for x
    x = 970,958,084.37/30,216.38
  6. Step 6: Final answer
    x = 32,133.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.