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Finding the Fourth Proportional to 44,824.68, 61,744.14 and 34,195.86

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Solution

The fourth proportional to 44,824.68, 61,744.14 and 34,195.86 is: 47,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,824.68 : 61,744.14 = 34,195.86 : x
  2. Step 2: Convert to fraction form
    44,824.68/61,744.14 = 34,195.86/x
  3. Step 3: Cross multiply
    44,824.68x = 61,744.14 × 34,195.86
  4. Step 4: Simplify right side
    44,824.68x = 2,111,393,967.26
  5. Step 5: Solve for x
    x = 2,111,393,967.26/44,824.68
  6. Step 6: Final answer
    x = 47,103.38

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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.