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Finding the Fourth Proportional to 30,670.40, 45,908.40 and 21,922.40

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Solution

The fourth proportional to 30,670.40, 45,908.40 and 21,922.40 is: 32,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.40 : 45,908.40 = 21,922.40 : x
  2. Step 2: Convert to fraction form
    30,670.40/45,908.40 = 21,922.40/x
  3. Step 3: Cross multiply
    30,670.40x = 45,908.40 × 21,922.40
  4. Step 4: Simplify right side
    30,670.40x = 1,006,422,308.16
  5. Step 5: Solve for x
    x = 1,006,422,308.16/30,670.40
  6. Step 6: Final answer
    x = 32,814.12

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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.