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Finding the Fourth Proportional to 29,710.75, 41,000.84 and 17,135.50

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Solution

The fourth proportional to 29,710.75, 41,000.84 and 17,135.50 is: 23,646.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,710.75 : 41,000.84 = 17,135.50 : x
  2. Step 2: Convert to fraction form
    29,710.75/41,000.84 = 17,135.50/x
  3. Step 3: Cross multiply
    29,710.75x = 41,000.84 × 17,135.50
  4. Step 4: Simplify right side
    29,710.75x = 702,569,893.82
  5. Step 5: Solve for x
    x = 702,569,893.82/29,710.75
  6. Step 6: Final answer
    x = 23,646.99

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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.