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Finding the Fourth Proportional to 66,023.66, 98,986.23 and 39,722.24

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Solution

The fourth proportional to 66,023.66, 98,986.23 and 39,722.24 is: 59,553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,023.66 : 98,986.23 = 39,722.24 : x
  2. Step 2: Convert to fraction form
    66,023.66/98,986.23 = 39,722.24/x
  3. Step 3: Cross multiply
    66,023.66x = 98,986.23 × 39,722.24
  4. Step 4: Simplify right side
    66,023.66x = 3,931,954,289.82
  5. Step 5: Solve for x
    x = 3,931,954,289.82/66,023.66
  6. Step 6: Final answer
    x = 59,553.72

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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.