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Finding the Fourth Proportional to 55,690.40, 83,462.70 and 22,383.20

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Solution

The fourth proportional to 55,690.40, 83,462.70 and 22,383.20 is: 33,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,690.40 : 83,462.70 = 22,383.20 : x
  2. Step 2: Convert to fraction form
    55,690.40/83,462.70 = 22,383.20/x
  3. Step 3: Cross multiply
    55,690.40x = 83,462.70 × 22,383.20
  4. Step 4: Simplify right side
    55,690.40x = 1,868,162,306.64
  5. Step 5: Solve for x
    x = 1,868,162,306.64/55,690.40
  6. Step 6: Final answer
    x = 33,545.50

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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.