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Finding the Fourth Proportional to 32,445.86, 48,659.07 and 11,664.50

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Solution

The fourth proportional to 32,445.86, 48,659.07 and 11,664.50 is: 17,493.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,445.86 : 48,659.07 = 11,664.50 : x
  2. Step 2: Convert to fraction form
    32,445.86/48,659.07 = 11,664.50/x
  3. Step 3: Cross multiply
    32,445.86x = 48,659.07 × 11,664.50
  4. Step 4: Simplify right side
    32,445.86x = 567,583,722.02
  5. Step 5: Solve for x
    x = 567,583,722.02/32,445.86
  6. Step 6: Final answer
    x = 17,493.26

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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.