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Finding the Fourth Proportional to 47,434.48, 71,172.36 and 22,492

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Solution

The fourth proportional to 47,434.48, 71,172.36 and 22,492 is: 33,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,434.48 : 71,172.36 = 22,492 : x
  2. Step 2: Convert to fraction form
    47,434.48/71,172.36 = 22,492/x
  3. Step 3: Cross multiply
    47,434.48x = 71,172.36 × 22,492
  4. Step 4: Simplify right side
    47,434.48x = 1,600,808,721.12
  5. Step 5: Solve for x
    x = 1,600,808,721.12/47,434.48
  6. Step 6: Final answer
    x = 33,747.79

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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.