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Finding the Fourth Proportional to 61,029.30, 84,213.06 and 34,169.70

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Solution

The fourth proportional to 61,029.30, 84,213.06 and 34,169.70 is: 47,150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,029.30 : 84,213.06 = 34,169.70 : x
  2. Step 2: Convert to fraction form
    61,029.30/84,213.06 = 34,169.70/x
  3. Step 3: Cross multiply
    61,029.30x = 84,213.06 × 34,169.70
  4. Step 4: Simplify right side
    61,029.30x = 2,877,534,996.28
  5. Step 5: Solve for x
    x = 2,877,534,996.28/61,029.30
  6. Step 6: Final answer
    x = 47,150.06

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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.