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Finding the Fourth Proportional to 73,686.52, 110,496.75 and 26,906.50

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Solution

The fourth proportional to 73,686.52, 110,496.75 and 26,906.50 is: 40,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,686.52 : 110,496.75 = 26,906.50 : x
  2. Step 2: Convert to fraction form
    73,686.52/110,496.75 = 26,906.50/x
  3. Step 3: Cross multiply
    73,686.52x = 110,496.75 × 26,906.50
  4. Step 4: Simplify right side
    73,686.52x = 2,973,080,803.88
  5. Step 5: Solve for x
    x = 2,973,080,803.88/73,686.52
  6. Step 6: Final answer
    x = 40,347.69

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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.