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Finding the Fourth Proportional to 38,123.40, 52,624.76 and 22,213

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Solution

The fourth proportional to 38,123.40, 52,624.76 and 22,213 is: 30,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,123.40 : 52,624.76 = 22,213 : x
  2. Step 2: Convert to fraction form
    38,123.40/52,624.76 = 22,213/x
  3. Step 3: Cross multiply
    38,123.40x = 52,624.76 × 22,213
  4. Step 4: Simplify right side
    38,123.40x = 1,168,953,793.88
  5. Step 5: Solve for x
    x = 1,168,953,793.88/38,123.40
  6. Step 6: Final answer
    x = 30,662.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.