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Finding the Fourth Proportional to 52,608.62, 78,913.14 and 13,165.62

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Solution

The fourth proportional to 52,608.62, 78,913.14 and 13,165.62 is: 19,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,608.62 : 78,913.14 = 13,165.62 : x
  2. Step 2: Convert to fraction form
    52,608.62/78,913.14 = 13,165.62/x
  3. Step 3: Cross multiply
    52,608.62x = 78,913.14 × 13,165.62
  4. Step 4: Simplify right side
    52,608.62x = 1,038,940,414.25
  5. Step 5: Solve for x
    x = 1,038,940,414.25/52,608.62
  6. Step 6: Final answer
    x = 19,748.48

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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.