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Finding the Fourth Proportional to 82,199.22, 113,434.92 and 44,473.47

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Solution

The fourth proportional to 82,199.22, 113,434.92 and 44,473.47 is: 61,373.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,199.22 : 113,434.92 = 44,473.47 : x
  2. Step 2: Convert to fraction form
    82,199.22/113,434.92 = 44,473.47/x
  3. Step 3: Cross multiply
    82,199.22x = 113,434.92 × 44,473.47
  4. Step 4: Simplify right side
    82,199.22x = 5,044,844,622.76
  5. Step 5: Solve for x
    x = 5,044,844,622.76/82,199.22
  6. Step 6: Final answer
    x = 61,373.39

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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.