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Finding the Fourth Proportional to 38,053.50, 57,064.17 and 11,403.27

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Solution

The fourth proportional to 38,053.50, 57,064.17 and 11,403.27 is: 17,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,053.50 : 57,064.17 = 11,403.27 : x
  2. Step 2: Convert to fraction form
    38,053.50/57,064.17 = 11,403.27/x
  3. Step 3: Cross multiply
    38,053.50x = 57,064.17 × 11,403.27
  4. Step 4: Simplify right side
    38,053.50x = 650,718,429.39
  5. Step 5: Solve for x
    x = 650,718,429.39/38,053.50
  6. Step 6: Final answer
    x = 17,100.10

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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.