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Finding the Fourth Proportional to 61,142.70, 91,714.05 and 34,898.70

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Solution

The fourth proportional to 61,142.70, 91,714.05 and 34,898.70 is: 52,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,142.70 : 91,714.05 = 34,898.70 : x
  2. Step 2: Convert to fraction form
    61,142.70/91,714.05 = 34,898.70/x
  3. Step 3: Cross multiply
    61,142.70x = 91,714.05 × 34,898.70
  4. Step 4: Simplify right side
    61,142.70x = 3,200,701,116.74
  5. Step 5: Solve for x
    x = 3,200,701,116.74/61,142.70
  6. Step 6: Final answer
    x = 52,348.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.