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Finding the Fourth Proportional to 72,263.69, 108,407.27 and 22,332.14

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Solution

The fourth proportional to 72,263.69, 108,407.27 and 22,332.14 is: 33,501.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,263.69 : 108,407.27 = 22,332.14 : x
  2. Step 2: Convert to fraction form
    72,263.69/108,407.27 = 22,332.14/x
  3. Step 3: Cross multiply
    72,263.69x = 108,407.27 × 22,332.14
  4. Step 4: Simplify right side
    72,263.69x = 2,420,965,844.45
  5. Step 5: Solve for x
    x = 2,420,965,844.45/72,263.69
  6. Step 6: Final answer
    x = 33,501.83

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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.