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Finding the Fourth Proportional to 52,057.71, 78,027.30 and 22,053.24

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Solution

The fourth proportional to 52,057.71, 78,027.30 and 22,053.24 is: 33,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,057.71 : 78,027.30 = 22,053.24 : x
  2. Step 2: Convert to fraction form
    52,057.71/78,027.30 = 22,053.24/x
  3. Step 3: Cross multiply
    52,057.71x = 78,027.30 × 22,053.24
  4. Step 4: Simplify right side
    52,057.71x = 1,720,754,773.45
  5. Step 5: Solve for x
    x = 1,720,754,773.45/52,057.71
  6. Step 6: Final answer
    x = 33,054.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.