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Finding the Fourth Proportional to 52,010.71, 71,774.37 and 28,137.31

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Solution

The fourth proportional to 52,010.71, 71,774.37 and 28,137.31 is: 38,829.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,010.71 : 71,774.37 = 28,137.31 : x
  2. Step 2: Convert to fraction form
    52,010.71/71,774.37 = 28,137.31/x
  3. Step 3: Cross multiply
    52,010.71x = 71,774.37 × 28,137.31
  4. Step 4: Simplify right side
    52,010.71x = 2,019,537,519.31
  5. Step 5: Solve for x
    x = 2,019,537,519.31/52,010.71
  6. Step 6: Final answer
    x = 38,829.26

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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.