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Finding the Fourth Proportional to 52,057.51, 71,839.41 and 28,184.20

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Solution

The fourth proportional to 52,057.51, 71,839.41 and 28,184.20 is: 38,894.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,057.51 : 71,839.41 = 28,184.20 : x
  2. Step 2: Convert to fraction form
    52,057.51/71,839.41 = 28,184.20/x
  3. Step 3: Cross multiply
    52,057.51x = 71,839.41 × 28,184.20
  4. Step 4: Simplify right side
    52,057.51x = 2,024,736,299.32
  5. Step 5: Solve for x
    x = 2,024,736,299.32/52,057.51
  6. Step 6: Final answer
    x = 38,894.22

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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.