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Finding the Fourth Proportional to 85,294.50, 127,941.75 and 22,965

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Solution

The fourth proportional to 85,294.50, 127,941.75 and 22,965 is: 34,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,294.50 : 127,941.75 = 22,965 : x
  2. Step 2: Convert to fraction form
    85,294.50/127,941.75 = 22,965/x
  3. Step 3: Cross multiply
    85,294.50x = 127,941.75 × 22,965
  4. Step 4: Simplify right side
    85,294.50x = 2,938,182,288.75
  5. Step 5: Solve for x
    x = 2,938,182,288.75/85,294.50
  6. Step 6: Final answer
    x = 34,447.50

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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.