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Finding the Fourth Proportional to 32,229, 48,343.50 and 11,453.32

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Solution

The fourth proportional to 32,229, 48,343.50 and 11,453.32 is: 17,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,229 : 48,343.50 = 11,453.32 : x
  2. Step 2: Convert to fraction form
    32,229/48,343.50 = 11,453.32/x
  3. Step 3: Cross multiply
    32,229x = 48,343.50 × 11,453.32
  4. Step 4: Simplify right side
    32,229x = 553,693,575.42
  5. Step 5: Solve for x
    x = 553,693,575.42/32,229
  6. Step 6: Final answer
    x = 17,179.98

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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.