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Finding the Fourth Proportional to 52,572.97, 78,812.52 and 19,285.24

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Solution

The fourth proportional to 52,572.97, 78,812.52 and 19,285.24 is: 28,910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,572.97 : 78,812.52 = 19,285.24 : x
  2. Step 2: Convert to fraction form
    52,572.97/78,812.52 = 19,285.24/x
  3. Step 3: Cross multiply
    52,572.97x = 78,812.52 × 19,285.24
  4. Step 4: Simplify right side
    52,572.97x = 1,519,918,363.20
  5. Step 5: Solve for x
    x = 1,519,918,363.20/52,572.97
  6. Step 6: Final answer
    x = 28,910.64

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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.