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Finding the Fourth Proportional to 52,446.49, 72,373.64 and 29,782.49

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Solution

The fourth proportional to 52,446.49, 72,373.64 and 29,782.49 is: 41,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,446.49 : 72,373.64 = 29,782.49 : x
  2. Step 2: Convert to fraction form
    52,446.49/72,373.64 = 29,782.49/x
  3. Step 3: Cross multiply
    52,446.49x = 72,373.64 × 29,782.49
  4. Step 4: Simplify right side
    52,446.49x = 2,155,467,209.56
  5. Step 5: Solve for x
    x = 2,155,467,209.56/52,446.49
  6. Step 6: Final answer
    x = 41,098.41

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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.