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Finding the Fourth Proportional to 52,075.52, 71,864.28 and 28,202.23

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Solution

The fourth proportional to 52,075.52, 71,864.28 and 28,202.23 is: 38,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,075.52 : 71,864.28 = 28,202.23 : x
  2. Step 2: Convert to fraction form
    52,075.52/71,864.28 = 28,202.23/x
  3. Step 3: Cross multiply
    52,075.52x = 71,864.28 × 28,202.23
  4. Step 4: Simplify right side
    52,075.52x = 2,026,732,953.34
  5. Step 5: Solve for x
    x = 2,026,732,953.34/52,075.52
  6. Step 6: Final answer
    x = 38,919.11

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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.