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Finding the Fourth Proportional to 32,442.74, 48,657.63 and 11,659.22

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Solution

The fourth proportional to 32,442.74, 48,657.63 and 11,659.22 is: 17,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,442.74 : 48,657.63 = 11,659.22 : x
  2. Step 2: Convert to fraction form
    32,442.74/48,657.63 = 11,659.22/x
  3. Step 3: Cross multiply
    32,442.74x = 48,657.63 × 11,659.22
  4. Step 4: Simplify right side
    32,442.74x = 567,310,012.85
  5. Step 5: Solve for x
    x = 567,310,012.85/32,442.74
  6. Step 6: Final answer
    x = 17,486.50

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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.