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Finding the Fourth Proportional to 47,354.88, 71,064 and 19,652.88

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Solution

The fourth proportional to 47,354.88, 71,064 and 19,652.88 is: 29,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,354.88 : 71,064 = 19,652.88 : x
  2. Step 2: Convert to fraction form
    47,354.88/71,064 = 19,652.88/x
  3. Step 3: Cross multiply
    47,354.88x = 71,064 × 19,652.88
  4. Step 4: Simplify right side
    47,354.88x = 1,396,612,264.32
  5. Step 5: Solve for x
    x = 1,396,612,264.32/47,354.88
  6. Step 6: Final answer
    x = 29,492.47

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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.