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Finding the Fourth Proportional to 52,420.52, 78,664.80 and 22,857.14

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Solution

The fourth proportional to 52,420.52, 78,664.80 and 22,857.14 is: 34,300.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,420.52 : 78,664.80 = 22,857.14 : x
  2. Step 2: Convert to fraction form
    52,420.52/78,664.80 = 22,857.14/x
  3. Step 3: Cross multiply
    52,420.52x = 78,664.80 × 22,857.14
  4. Step 4: Simplify right side
    52,420.52x = 1,798,052,346.67
  5. Step 5: Solve for x
    x = 1,798,052,346.67/52,420.52
  6. Step 6: Final answer
    x = 34,300.54

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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.