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Finding the Fourth Proportional to 38,114, 57,174.96 and 10,412

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Solution

The fourth proportional to 38,114, 57,174.96 and 10,412 is: 15,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,114 : 57,174.96 = 10,412 : x
  2. Step 2: Convert to fraction form
    38,114/57,174.96 = 10,412/x
  3. Step 3: Cross multiply
    38,114x = 57,174.96 × 10,412
  4. Step 4: Simplify right side
    38,114x = 595,305,683.52
  5. Step 5: Solve for x
    x = 595,305,683.52/38,114
  6. Step 6: Final answer
    x = 15,619.08

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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.