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Finding the Fourth Proportional to 101,734.62, 152,447.01 and 51,739.80

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Solution

The fourth proportional to 101,734.62, 152,447.01 and 51,739.80 is: 77,530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,734.62 : 152,447.01 = 51,739.80 : x
  2. Step 2: Convert to fraction form
    101,734.62/152,447.01 = 51,739.80/x
  3. Step 3: Cross multiply
    101,734.62x = 152,447.01 × 51,739.80
  4. Step 4: Simplify right side
    101,734.62x = 7,887,577,808.00
  5. Step 5: Solve for x
    x = 7,887,577,808.00/101,734.62
  6. Step 6: Final answer
    x = 77,530.91

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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.