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Finding the Fourth Proportional to 73,820.24, 110,769.24 and 32,296.40

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Solution

The fourth proportional to 73,820.24, 110,769.24 and 32,296.40 is: 48,461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,820.24 : 110,769.24 = 32,296.40 : x
  2. Step 2: Convert to fraction form
    73,820.24/110,769.24 = 32,296.40/x
  3. Step 3: Cross multiply
    73,820.24x = 110,769.24 × 32,296.40
  4. Step 4: Simplify right side
    73,820.24x = 3,577,447,682.74
  5. Step 5: Solve for x
    x = 3,577,447,682.74/73,820.24
  6. Step 6: Final answer
    x = 48,461.61

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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.