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Finding the Fourth Proportional to 52,075.87, 71,864.32 and 28,201.99

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Solution

The fourth proportional to 52,075.87, 71,864.32 and 28,201.99 is: 38,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,075.87 : 71,864.32 = 28,201.99 : x
  2. Step 2: Convert to fraction form
    52,075.87/71,864.32 = 28,201.99/x
  3. Step 3: Cross multiply
    52,075.87x = 71,864.32 × 28,201.99
  4. Step 4: Simplify right side
    52,075.87x = 2,026,716,834.00
  5. Step 5: Solve for x
    x = 2,026,716,834.00/52,075.87
  6. Step 6: Final answer
    x = 38,918.54

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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.