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Finding the Fourth Proportional to 32,102.80, 48,135.68 and 9,910.24

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Solution

The fourth proportional to 32,102.80, 48,135.68 and 9,910.24 is: 14,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.80 : 48,135.68 = 9,910.24 : x
  2. Step 2: Convert to fraction form
    32,102.80/48,135.68 = 9,910.24/x
  3. Step 3: Cross multiply
    32,102.80x = 48,135.68 × 9,910.24
  4. Step 4: Simplify right side
    32,102.80x = 477,035,851.13
  5. Step 5: Solve for x
    x = 477,035,851.13/32,102.80
  6. Step 6: Final answer
    x = 14,859.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.