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Finding the Fourth Proportional to 47,492.25, 71,212.06 and 19,432

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Solution

The fourth proportional to 47,492.25, 71,212.06 and 19,432 is: 29,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,492.25 : 71,212.06 = 19,432 : x
  2. Step 2: Convert to fraction form
    47,492.25/71,212.06 = 19,432/x
  3. Step 3: Cross multiply
    47,492.25x = 71,212.06 × 19,432
  4. Step 4: Simplify right side
    47,492.25x = 1,383,792,749.92
  5. Step 5: Solve for x
    x = 1,383,792,749.92/47,492.25
  6. Step 6: Final answer
    x = 29,137.23

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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.