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Finding the Fourth Proportional to 52,407, 72,369.68 and 33,292.96

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Solution

The fourth proportional to 52,407, 72,369.68 and 33,292.96 is: 45,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407 : 72,369.68 = 33,292.96 : x
  2. Step 2: Convert to fraction form
    52,407/72,369.68 = 33,292.96/x
  3. Step 3: Cross multiply
    52,407x = 72,369.68 × 33,292.96
  4. Step 4: Simplify right side
    52,407x = 2,409,400,861.45
  5. Step 5: Solve for x
    x = 2,409,400,861.45/52,407
  6. Step 6: Final answer
    x = 45,974.79

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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.