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Finding the Fourth Proportional to 38,326, 57,489.08 and 10,624.08

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Solution

The fourth proportional to 38,326, 57,489.08 and 10,624.08 is: 15,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,326 : 57,489.08 = 10,624.08 : x
  2. Step 2: Convert to fraction form
    38,326/57,489.08 = 10,624.08/x
  3. Step 3: Cross multiply
    38,326x = 57,489.08 × 10,624.08
  4. Step 4: Simplify right side
    38,326x = 610,768,585.05
  5. Step 5: Solve for x
    x = 610,768,585.05/38,326
  6. Step 6: Final answer
    x = 15,936.14

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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.