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Finding the Fourth Proportional to 73,204.76, 101,023.65 and 40,942.86

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Solution

The fourth proportional to 73,204.76, 101,023.65 and 40,942.86 is: 56,501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,204.76 : 101,023.65 = 40,942.86 : x
  2. Step 2: Convert to fraction form
    73,204.76/101,023.65 = 40,942.86/x
  3. Step 3: Cross multiply
    73,204.76x = 101,023.65 × 40,942.86
  4. Step 4: Simplify right side
    73,204.76x = 4,136,197,158.64
  5. Step 5: Solve for x
    x = 4,136,197,158.64/73,204.76
  6. Step 6: Final answer
    x = 56,501.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.