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Finding the Fourth Proportional to 73,507.76, 110,162.64 and 40,177.76

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Solution

The fourth proportional to 73,507.76, 110,162.64 and 40,177.76 is: 60,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,507.76 : 110,162.64 = 40,177.76 : x
  2. Step 2: Convert to fraction form
    73,507.76/110,162.64 = 40,177.76/x
  3. Step 3: Cross multiply
    73,507.76x = 110,162.64 × 40,177.76
  4. Step 4: Simplify right side
    73,507.76x = 4,426,088,110.89
  5. Step 5: Solve for x
    x = 4,426,088,110.89/73,507.76
  6. Step 6: Final answer
    x = 60,212.53

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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.