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Finding the Fourth Proportional to 47,396.48, 71,098.50 and 16,232

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Solution

The fourth proportional to 47,396.48, 71,098.50 and 16,232 is: 24,349.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,396.48 : 71,098.50 = 16,232 : x
  2. Step 2: Convert to fraction form
    47,396.48/71,098.50 = 16,232/x
  3. Step 3: Cross multiply
    47,396.48x = 71,098.50 × 16,232
  4. Step 4: Simplify right side
    47,396.48x = 1,154,070,852
  5. Step 5: Solve for x
    x = 1,154,070,852/47,396.48
  6. Step 6: Final answer
    x = 24,349.29

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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.