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Finding the Fourth Proportional to 73,082.80, 100,875.81 and 42,874.66

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Solution

The fourth proportional to 73,082.80, 100,875.81 and 42,874.66 is: 59,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,082.80 : 100,875.81 = 42,874.66 : x
  2. Step 2: Convert to fraction form
    73,082.80/100,875.81 = 42,874.66/x
  3. Step 3: Cross multiply
    73,082.80x = 100,875.81 × 42,874.66
  4. Step 4: Simplify right side
    73,082.80x = 4,325,016,055.97
  5. Step 5: Solve for x
    x = 4,325,016,055.97/73,082.80
  6. Step 6: Final answer
    x = 59,179.67

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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.