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Finding the Fourth Proportional to 38,358.50, 57,538.47 and 10,657.22

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Solution

The fourth proportional to 38,358.50, 57,538.47 and 10,657.22 is: 15,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,358.50 : 57,538.47 = 10,657.22 : x
  2. Step 2: Convert to fraction form
    38,358.50/57,538.47 = 10,657.22/x
  3. Step 3: Cross multiply
    38,358.50x = 57,538.47 × 10,657.22
  4. Step 4: Simplify right side
    38,358.50x = 613,200,133.25
  5. Step 5: Solve for x
    x = 613,200,133.25/38,358.50
  6. Step 6: Final answer
    x = 15,986.03

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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.