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Finding the Fourth Proportional to 47,808, 71,737.92 and 23,184

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Solution

The fourth proportional to 47,808, 71,737.92 and 23,184 is: 34,788.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,808 : 71,737.92 = 23,184 : x
  2. Step 2: Convert to fraction form
    47,808/71,737.92 = 23,184/x
  3. Step 3: Cross multiply
    47,808x = 71,737.92 × 23,184
  4. Step 4: Simplify right side
    47,808x = 1,663,171,937.28
  5. Step 5: Solve for x
    x = 1,663,171,937.28/47,808
  6. Step 6: Final answer
    x = 34,788.57

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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.