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Finding the Fourth Proportional to 79,222, 109,326.36 and 45,688

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Solution

The fourth proportional to 79,222, 109,326.36 and 45,688 is: 63,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,222 : 109,326.36 = 45,688 : x
  2. Step 2: Convert to fraction form
    79,222/109,326.36 = 45,688/x
  3. Step 3: Cross multiply
    79,222x = 109,326.36 × 45,688
  4. Step 4: Simplify right side
    79,222x = 4,994,902,735.68
  5. Step 5: Solve for x
    x = 4,994,902,735.68/79,222
  6. Step 6: Final answer
    x = 63,049.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.