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Finding the Fourth Proportional to 56,119.44, 84,227.48 and 22,858

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Solution

The fourth proportional to 56,119.44, 84,227.48 and 22,858 is: 34,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,119.44 : 84,227.48 = 22,858 : x
  2. Step 2: Convert to fraction form
    56,119.44/84,227.48 = 22,858/x
  3. Step 3: Cross multiply
    56,119.44x = 84,227.48 × 22,858
  4. Step 4: Simplify right side
    56,119.44x = 1,925,271,737.84
  5. Step 5: Solve for x
    x = 1,925,271,737.84/56,119.44
  6. Step 6: Final answer
    x = 34,306.68

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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.