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Finding the Fourth Proportional to 52,075.99, 71,864.76 and 28,202.59

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Solution

The fourth proportional to 52,075.99, 71,864.76 and 28,202.59 is: 38,919.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,075.99 : 71,864.76 = 28,202.59 : x
  2. Step 2: Convert to fraction form
    52,075.99/71,864.76 = 28,202.59/x
  3. Step 3: Cross multiply
    52,075.99x = 71,864.76 × 28,202.59
  4. Step 4: Simplify right side
    52,075.99x = 2,026,772,361.73
  5. Step 5: Solve for x
    x = 2,026,772,361.73/52,075.99
  6. Step 6: Final answer
    x = 38,919.52

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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.