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Finding the Fourth Proportional to 67,647.83, 101,472.44 and 30,209.81

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Solution

The fourth proportional to 67,647.83, 101,472.44 and 30,209.81 is: 45,315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,647.83 : 101,472.44 = 30,209.81 : x
  2. Step 2: Convert to fraction form
    67,647.83/101,472.44 = 30,209.81/x
  3. Step 3: Cross multiply
    67,647.83x = 101,472.44 × 30,209.81
  4. Step 4: Simplify right side
    67,647.83x = 3,065,462,474.23
  5. Step 5: Solve for x
    x = 3,065,462,474.23/67,647.83
  6. Step 6: Final answer
    x = 45,315.02

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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.