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Finding the Fourth Proportional to 73,585.68, 110,301.68 and 34,110.24

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Solution

The fourth proportional to 73,585.68, 110,301.68 and 34,110.24 is: 51,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,585.68 : 110,301.68 = 34,110.24 : x
  2. Step 2: Convert to fraction form
    73,585.68/110,301.68 = 34,110.24/x
  3. Step 3: Cross multiply
    73,585.68x = 110,301.68 × 34,110.24
  4. Step 4: Simplify right side
    73,585.68x = 3,762,416,777.20
  5. Step 5: Solve for x
    x = 3,762,416,777.20/73,585.68
  6. Step 6: Final answer
    x = 51,129.74

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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.