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Finding the Fourth Proportional to 52,210.22, 72,049.32 and 29,553.50

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Solution

The fourth proportional to 52,210.22, 72,049.32 and 29,553.50 is: 40,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,210.22 : 72,049.32 = 29,553.50 : x
  2. Step 2: Convert to fraction form
    52,210.22/72,049.32 = 29,553.50/x
  3. Step 3: Cross multiply
    52,210.22x = 72,049.32 × 29,553.50
  4. Step 4: Simplify right side
    52,210.22x = 2,129,309,758.74
  5. Step 5: Solve for x
    x = 2,129,309,758.74/52,210.22
  6. Step 6: Final answer
    x = 40,783.39

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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.