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Finding the Fourth Proportional to 61,035.30, 84,233.74 and 34,180.30

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Solution

The fourth proportional to 61,035.30, 84,233.74 and 34,180.30 is: 47,171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,035.30 : 84,233.74 = 34,180.30 : x
  2. Step 2: Convert to fraction form
    61,035.30/84,233.74 = 34,180.30/x
  3. Step 3: Cross multiply
    61,035.30x = 84,233.74 × 34,180.30
  4. Step 4: Simplify right side
    61,035.30x = 2,879,134,503.32
  5. Step 5: Solve for x
    x = 2,879,134,503.32/61,035.30
  6. Step 6: Final answer
    x = 47,171.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.