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Finding the Fourth Proportional to 38,041.78, 57,071.31 and 20,511.22

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Solution

The fourth proportional to 38,041.78, 57,071.31 and 20,511.22 is: 30,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,041.78 : 57,071.31 = 20,511.22 : x
  2. Step 2: Convert to fraction form
    38,041.78/57,071.31 = 20,511.22/x
  3. Step 3: Cross multiply
    38,041.78x = 57,071.31 × 20,511.22
  4. Step 4: Simplify right side
    38,041.78x = 1,170,602,195.10
  5. Step 5: Solve for x
    x = 1,170,602,195.10/38,041.78
  6. Step 6: Final answer
    x = 30,771.49

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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.