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Finding the Fourth Proportional to 72,141.84, 108,224.40 and 22,221.93

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Solution

The fourth proportional to 72,141.84, 108,224.40 and 22,221.93 is: 33,336.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,141.84 : 108,224.40 = 22,221.93 : x
  2. Step 2: Convert to fraction form
    72,141.84/108,224.40 = 22,221.93/x
  3. Step 3: Cross multiply
    72,141.84x = 108,224.40 × 22,221.93
  4. Step 4: Simplify right side
    72,141.84x = 2,404,955,041.09
  5. Step 5: Solve for x
    x = 2,404,955,041.09/72,141.84
  6. Step 6: Final answer
    x = 33,336.48

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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.