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Finding the Fourth Proportional to 27,624.68, 38,123.22 and 15,050.12

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Solution

The fourth proportional to 27,624.68, 38,123.22 and 15,050.12 is: 20,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,624.68 : 38,123.22 = 15,050.12 : x
  2. Step 2: Convert to fraction form
    27,624.68/38,123.22 = 15,050.12/x
  3. Step 3: Cross multiply
    27,624.68x = 38,123.22 × 15,050.12
  4. Step 4: Simplify right side
    27,624.68x = 573,759,035.79
  5. Step 5: Solve for x
    x = 573,759,035.79/27,624.68
  6. Step 6: Final answer
    x = 20,769.80

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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.