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Finding the Fourth Proportional to 52,964.38, 73,095.92 and 30,298.87

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Solution

The fourth proportional to 52,964.38, 73,095.92 and 30,298.87 is: 41,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,964.38 : 73,095.92 = 30,298.87 : x
  2. Step 2: Convert to fraction form
    52,964.38/73,095.92 = 30,298.87/x
  3. Step 3: Cross multiply
    52,964.38x = 73,095.92 × 30,298.87
  4. Step 4: Simplify right side
    52,964.38x = 2,214,723,777.61
  5. Step 5: Solve for x
    x = 2,214,723,777.61/52,964.38
  6. Step 6: Final answer
    x = 41,815.34

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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.