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Finding the Fourth Proportional to 52,309.96, 72,208.70 and 32,174.96

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Solution

The fourth proportional to 52,309.96, 72,208.70 and 32,174.96 is: 44,414.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,309.96 : 72,208.70 = 32,174.96 : x
  2. Step 2: Convert to fraction form
    52,309.96/72,208.70 = 32,174.96/x
  3. Step 3: Cross multiply
    52,309.96x = 72,208.70 × 32,174.96
  4. Step 4: Simplify right side
    52,309.96x = 2,323,312,034.15
  5. Step 5: Solve for x
    x = 2,323,312,034.15/52,309.96
  6. Step 6: Final answer
    x = 44,414.33

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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.