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Finding the Fourth Proportional to 47,536, 71,248.32 and 16,343.68

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Solution

The fourth proportional to 47,536, 71,248.32 and 16,343.68 is: 24,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,536 : 71,248.32 = 16,343.68 : x
  2. Step 2: Convert to fraction form
    47,536/71,248.32 = 16,343.68/x
  3. Step 3: Cross multiply
    47,536x = 71,248.32 × 16,343.68
  4. Step 4: Simplify right side
    47,536x = 1,164,459,742.62
  5. Step 5: Solve for x
    x = 1,164,459,742.62/47,536
  6. Step 6: Final answer
    x = 24,496.38

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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.