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Finding the Fourth Proportional to 73,784.56, 110,709.32 and 38,715.76

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Solution

The fourth proportional to 73,784.56, 110,709.32 and 38,715.76 is: 58,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,784.56 : 110,709.32 = 38,715.76 : x
  2. Step 2: Convert to fraction form
    73,784.56/110,709.32 = 38,715.76/x
  3. Step 3: Cross multiply
    73,784.56x = 110,709.32 × 38,715.76
  4. Step 4: Simplify right side
    73,784.56x = 4,286,195,462.88
  5. Step 5: Solve for x
    x = 4,286,195,462.88/73,784.56
  6. Step 6: Final answer
    x = 58,090.68

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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.