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Finding the Fourth Proportional to 56,184.68, 84,277.56 and 22,898

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Solution

The fourth proportional to 56,184.68, 84,277.56 and 22,898 is: 34,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,184.68 : 84,277.56 = 22,898 : x
  2. Step 2: Convert to fraction form
    56,184.68/84,277.56 = 22,898/x
  3. Step 3: Cross multiply
    56,184.68x = 84,277.56 × 22,898
  4. Step 4: Simplify right side
    56,184.68x = 1,929,787,568.88
  5. Step 5: Solve for x
    x = 1,929,787,568.88/56,184.68
  6. Step 6: Final answer
    x = 34,347.22

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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.