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Finding the Fourth Proportional to 61,199.15, 84,463.22 and 34,343.24

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Solution

The fourth proportional to 61,199.15, 84,463.22 and 34,343.24 is: 47,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,199.15 : 84,463.22 = 34,343.24 : x
  2. Step 2: Convert to fraction form
    61,199.15/84,463.22 = 34,343.24/x
  3. Step 3: Cross multiply
    61,199.15x = 84,463.22 × 34,343.24
  4. Step 4: Simplify right side
    61,199.15x = 2,900,740,299.17
  5. Step 5: Solve for x
    x = 2,900,740,299.17/61,199.15
  6. Step 6: Final answer
    x = 47,398.38

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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.