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Finding the Fourth Proportional to 38,510.58, 53,138.61 and 21,743.22

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Solution

The fourth proportional to 38,510.58, 53,138.61 and 21,743.22 is: 30,002.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,510.58 : 53,138.61 = 21,743.22 : x
  2. Step 2: Convert to fraction form
    38,510.58/53,138.61 = 21,743.22/x
  3. Step 3: Cross multiply
    38,510.58x = 53,138.61 × 21,743.22
  4. Step 4: Simplify right side
    38,510.58x = 1,155,404,487.72
  5. Step 5: Solve for x
    x = 1,155,404,487.72/38,510.58
  6. Step 6: Final answer
    x = 30,002.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.