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Finding the Fourth Proportional to 29,181.90, 43,702.68 and 16,664

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Solution

The fourth proportional to 29,181.90, 43,702.68 and 16,664 is: 24,955.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,181.90 : 43,702.68 = 16,664 : x
  2. Step 2: Convert to fraction form
    29,181.90/43,702.68 = 16,664/x
  3. Step 3: Cross multiply
    29,181.90x = 43,702.68 × 16,664
  4. Step 4: Simplify right side
    29,181.90x = 728,261,459.52
  5. Step 5: Solve for x
    x = 728,261,459.52/29,181.90
  6. Step 6: Final answer
    x = 24,955.93

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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.