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Finding the Fourth Proportional to 38,101.97, 52,582.59 and 22,994.39

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Solution

The fourth proportional to 38,101.97, 52,582.59 and 22,994.39 is: 31,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,101.97 : 52,582.59 = 22,994.39 : x
  2. Step 2: Convert to fraction form
    38,101.97/52,582.59 = 22,994.39/x
  3. Step 3: Cross multiply
    38,101.97x = 52,582.59 × 22,994.39
  4. Step 4: Simplify right side
    38,101.97x = 1,209,104,318.76
  5. Step 5: Solve for x
    x = 1,209,104,318.76/38,101.97
  6. Step 6: Final answer
    x = 31,733.38

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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.