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Finding the Fourth Proportional to 75,584.47, 113,420.52 and 38,147.47

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Solution

The fourth proportional to 75,584.47, 113,420.52 and 38,147.47 is: 57,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,584.47 : 113,420.52 = 38,147.47 : x
  2. Step 2: Convert to fraction form
    75,584.47/113,420.52 = 38,147.47/x
  3. Step 3: Cross multiply
    75,584.47x = 113,420.52 × 38,147.47
  4. Step 4: Simplify right side
    75,584.47x = 4,326,705,884.08
  5. Step 5: Solve for x
    x = 4,326,705,884.08/75,584.47
  6. Step 6: Final answer
    x = 57,243.32

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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.