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Finding the Fourth Proportional to 52,214.19, 72,043.22 and 29,553.18

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Solution

The fourth proportional to 52,214.19, 72,043.22 and 29,553.18 is: 40,776.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,214.19 : 72,043.22 = 29,553.18 : x
  2. Step 2: Convert to fraction form
    52,214.19/72,043.22 = 29,553.18/x
  3. Step 3: Cross multiply
    52,214.19x = 72,043.22 × 29,553.18
  4. Step 4: Simplify right side
    52,214.19x = 2,129,106,248.44
  5. Step 5: Solve for x
    x = 2,129,106,248.44/52,214.19
  6. Step 6: Final answer
    x = 40,776.39

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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.