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Finding the Fourth Proportional to 56,168.55, 84,229.40 and 22,866

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Solution

The fourth proportional to 56,168.55, 84,229.40 and 22,866 is: 34,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,168.55 : 84,229.40 = 22,866 : x
  2. Step 2: Convert to fraction form
    56,168.55/84,229.40 = 22,866/x
  3. Step 3: Cross multiply
    56,168.55x = 84,229.40 × 22,866
  4. Step 4: Simplify right side
    56,168.55x = 1,925,989,346.07
  5. Step 5: Solve for x
    x = 1,925,989,346.07/56,168.55
  6. Step 6: Final answer
    x = 34,289.46

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Why These Related Problems?

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