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Finding the Fourth Proportional to 30,643.88, 42,227.16 and 22,130.97

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Solution

The fourth proportional to 30,643.88, 42,227.16 and 22,130.97 is: 30,496.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.88 : 42,227.16 = 22,130.97 : x
  2. Step 2: Convert to fraction form
    30,643.88/42,227.16 = 22,130.97/x
  3. Step 3: Cross multiply
    30,643.88x = 42,227.16 × 22,130.97
  4. Step 4: Simplify right side
    30,643.88x = 934,528,011.15
  5. Step 5: Solve for x
    x = 934,528,011.15/30,643.88
  6. Step 6: Final answer
    x = 30,496.40

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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.