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Finding the Fourth Proportional to 73,132.68, 109,643.46 and 23,184

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Solution

The fourth proportional to 73,132.68, 109,643.46 and 23,184 is: 34,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,132.68 : 109,643.46 = 23,184 : x
  2. Step 2: Convert to fraction form
    73,132.68/109,643.46 = 23,184/x
  3. Step 3: Cross multiply
    73,132.68x = 109,643.46 × 23,184
  4. Step 4: Simplify right side
    73,132.68x = 2,541,973,976.64
  5. Step 5: Solve for x
    x = 2,541,973,976.64/73,132.68
  6. Step 6: Final answer
    x = 34,758.39

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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.