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Finding the Fourth Proportional to 84,863, 127,294.50 and 29,459

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Solution

The fourth proportional to 84,863, 127,294.50 and 29,459 is: 44,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,863 : 127,294.50 = 29,459 : x
  2. Step 2: Convert to fraction form
    84,863/127,294.50 = 29,459/x
  3. Step 3: Cross multiply
    84,863x = 127,294.50 × 29,459
  4. Step 4: Simplify right side
    84,863x = 3,749,968,675.50
  5. Step 5: Solve for x
    x = 3,749,968,675.50/84,863
  6. Step 6: Final answer
    x = 44,188.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.