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Finding the Fourth Proportional to 51,525.92, 77,162.16 and 25,145.60

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Solution

The fourth proportional to 51,525.92, 77,162.16 and 25,145.60 is: 37,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,525.92 : 77,162.16 = 25,145.60 : x
  2. Step 2: Convert to fraction form
    51,525.92/77,162.16 = 25,145.60/x
  3. Step 3: Cross multiply
    51,525.92x = 77,162.16 × 25,145.60
  4. Step 4: Simplify right side
    51,525.92x = 1,940,288,810.50
  5. Step 5: Solve for x
    x = 1,940,288,810.50/51,525.92
  6. Step 6: Final answer
    x = 37,656.56

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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.