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Finding the Fourth Proportional to 34,997.84, 52,496.75 and 8,702.58

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Solution

The fourth proportional to 34,997.84, 52,496.75 and 8,702.58 is: 13,053.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,997.84 : 52,496.75 = 8,702.58 : x
  2. Step 2: Convert to fraction form
    34,997.84/52,496.75 = 8,702.58/x
  3. Step 3: Cross multiply
    34,997.84x = 52,496.75 × 8,702.58
  4. Step 4: Simplify right side
    34,997.84x = 456,857,123.10
  5. Step 5: Solve for x
    x = 456,857,123.10/34,997.84
  6. Step 6: Final answer
    x = 13,053.87

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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.