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Finding the Fourth Proportional to 52,452, 78,620.76 and 25,816.32

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Solution

The fourth proportional to 52,452, 78,620.76 and 25,816.32 is: 38,696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,452 : 78,620.76 = 25,816.32 : x
  2. Step 2: Convert to fraction form
    52,452/78,620.76 = 25,816.32/x
  3. Step 3: Cross multiply
    52,452x = 78,620.76 × 25,816.32
  4. Step 4: Simplify right side
    52,452x = 2,029,698,698.80
  5. Step 5: Solve for x
    x = 2,029,698,698.80/52,452
  6. Step 6: Final answer
    x = 38,696.31

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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.