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Finding the Fourth Proportional to 52,077.08, 71,866.26 and 28,203.68

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Solution

The fourth proportional to 52,077.08, 71,866.26 and 28,203.68 is: 38,921.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,077.08 : 71,866.26 = 28,203.68 : x
  2. Step 2: Convert to fraction form
    52,077.08/71,866.26 = 28,203.68/x
  3. Step 3: Cross multiply
    52,077.08x = 71,866.26 × 28,203.68
  4. Step 4: Simplify right side
    52,077.08x = 2,026,893,179.50
  5. Step 5: Solve for x
    x = 2,026,893,179.50/52,077.08
  6. Step 6: Final answer
    x = 38,921.02

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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.