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Finding the Fourth Proportional to 55,022.56, 75,931.07 and 30,823.69

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Solution

The fourth proportional to 55,022.56, 75,931.07 and 30,823.69 is: 42,536.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,022.56 : 75,931.07 = 30,823.69 : x
  2. Step 2: Convert to fraction form
    55,022.56/75,931.07 = 30,823.69/x
  3. Step 3: Cross multiply
    55,022.56x = 75,931.07 × 30,823.69
  4. Step 4: Simplify right side
    55,022.56x = 2,340,476,163.38
  5. Step 5: Solve for x
    x = 2,340,476,163.38/55,022.56
  6. Step 6: Final answer
    x = 42,536.67

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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.