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Finding the Fourth Proportional to 38,133, 57,202.92 and 10,052.68

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Solution

The fourth proportional to 38,133, 57,202.92 and 10,052.68 is: 15,079.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,133 : 57,202.92 = 10,052.68 : x
  2. Step 2: Convert to fraction form
    38,133/57,202.92 = 10,052.68/x
  3. Step 3: Cross multiply
    38,133x = 57,202.92 × 10,052.68
  4. Step 4: Simplify right side
    38,133x = 575,042,649.83
  5. Step 5: Solve for x
    x = 575,042,649.83/38,133
  6. Step 6: Final answer
    x = 15,079.92

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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.