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Finding the Fourth Proportional to 32,248.60, 48,343.74 and 11,467.24

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Solution

The fourth proportional to 32,248.60, 48,343.74 and 11,467.24 is: 17,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,248.60 : 48,343.74 = 11,467.24 : x
  2. Step 2: Convert to fraction form
    32,248.60/48,343.74 = 11,467.24/x
  3. Step 3: Cross multiply
    32,248.60x = 48,343.74 × 11,467.24
  4. Step 4: Simplify right side
    32,248.60x = 554,369,269.08
  5. Step 5: Solve for x
    x = 554,369,269.08/32,248.60
  6. Step 6: Final answer
    x = 17,190.49

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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.