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Finding the Fourth Proportional to 41,797, 62,695.50 and 14,095

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Solution

The fourth proportional to 41,797, 62,695.50 and 14,095 is: 21,142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,797 : 62,695.50 = 14,095 : x
  2. Step 2: Convert to fraction form
    41,797/62,695.50 = 14,095/x
  3. Step 3: Cross multiply
    41,797x = 62,695.50 × 14,095
  4. Step 4: Simplify right side
    41,797x = 883,693,072.50
  5. Step 5: Solve for x
    x = 883,693,072.50/41,797
  6. Step 6: Final answer
    x = 21,142.50

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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.