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Finding the Fourth Proportional to 52,075.38, 71,863.64 and 28,201.50

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Solution

The fourth proportional to 52,075.38, 71,863.64 and 28,201.50 is: 38,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,075.38 : 71,863.64 = 28,201.50 : x
  2. Step 2: Convert to fraction form
    52,075.38/71,863.64 = 28,201.50/x
  3. Step 3: Cross multiply
    52,075.38x = 71,863.64 × 28,201.50
  4. Step 4: Simplify right side
    52,075.38x = 2,026,662,443.46
  5. Step 5: Solve for x
    x = 2,026,662,443.46/52,075.38
  6. Step 6: Final answer
    x = 38,917.86

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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.