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Finding the Fourth Proportional to 32,247, 48,374.64 and 11,470.68

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Solution

The fourth proportional to 32,247, 48,374.64 and 11,470.68 is: 17,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,247 : 48,374.64 = 11,470.68 : x
  2. Step 2: Convert to fraction form
    32,247/48,374.64 = 11,470.68/x
  3. Step 3: Cross multiply
    32,247x = 48,374.64 × 11,470.68
  4. Step 4: Simplify right side
    32,247x = 554,890,015.56
  5. Step 5: Solve for x
    x = 554,890,015.56/32,247
  6. Step 6: Final answer
    x = 17,207.49

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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.