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Finding the Fourth Proportional to 52,425, 78,560.82 and 32,643.36

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Solution

The fourth proportional to 52,425, 78,560.82 and 32,643.36 is: 48,917.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,425 : 78,560.82 = 32,643.36 : x
  2. Step 2: Convert to fraction form
    52,425/78,560.82 = 32,643.36/x
  3. Step 3: Cross multiply
    52,425x = 78,560.82 × 32,643.36
  4. Step 4: Simplify right side
    52,425x = 2,564,489,129.16
  5. Step 5: Solve for x
    x = 2,564,489,129.16/52,425
  6. Step 6: Final answer
    x = 48,917.29

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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.