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Finding the Fourth Proportional to 52,550.64, 78,817.32 and 15,606

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Solution

The fourth proportional to 52,550.64, 78,817.32 and 15,606 is: 23,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,550.64 : 78,817.32 = 15,606 : x
  2. Step 2: Convert to fraction form
    52,550.64/78,817.32 = 15,606/x
  3. Step 3: Cross multiply
    52,550.64x = 78,817.32 × 15,606
  4. Step 4: Simplify right side
    52,550.64x = 1,230,023,095.92
  5. Step 5: Solve for x
    x = 1,230,023,095.92/52,550.64
  6. Step 6: Final answer
    x = 23,406.43

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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.