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Finding the Fourth Proportional to 84,530.67, 126,862.25 and 37,178.67

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Solution

The fourth proportional to 84,530.67, 126,862.25 and 37,178.67 is: 55,797.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,530.67 : 126,862.25 = 37,178.67 : x
  2. Step 2: Convert to fraction form
    84,530.67/126,862.25 = 37,178.67/x
  3. Step 3: Cross multiply
    84,530.67x = 126,862.25 × 37,178.67
  4. Step 4: Simplify right side
    84,530.67x = 4,716,569,542.31
  5. Step 5: Solve for x
    x = 4,716,569,542.31/84,530.67
  6. Step 6: Final answer
    x = 55,797.14

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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.