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Finding the Fourth Proportional to 85,294.50, 127,941.75 and 29,890.50

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Solution

The fourth proportional to 85,294.50, 127,941.75 and 29,890.50 is: 44,835.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,294.50 : 127,941.75 = 29,890.50 : x
  2. Step 2: Convert to fraction form
    85,294.50/127,941.75 = 29,890.50/x
  3. Step 3: Cross multiply
    85,294.50x = 127,941.75 × 29,890.50
  4. Step 4: Simplify right side
    85,294.50x = 3,824,242,878.38
  5. Step 5: Solve for x
    x = 3,824,242,878.38/85,294.50
  6. Step 6: Final answer
    x = 44,835.75

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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.