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Finding the Fourth Proportional to 32,493.60, 48,743.64 and 11,712.24

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Solution

The fourth proportional to 32,493.60, 48,743.64 and 11,712.24 is: 17,569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,493.60 : 48,743.64 = 11,712.24 : x
  2. Step 2: Convert to fraction form
    32,493.60/48,743.64 = 11,712.24/x
  3. Step 3: Cross multiply
    32,493.60x = 48,743.64 × 11,712.24
  4. Step 4: Simplify right side
    32,493.60x = 570,897,210.15
  5. Step 5: Solve for x
    x = 570,897,210.15/32,493.60
  6. Step 6: Final answer
    x = 17,569.53

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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.