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Finding the Fourth Proportional to 32,118.32, 48,182.11 and 9,933.64

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Solution

The fourth proportional to 32,118.32, 48,182.11 and 9,933.64 is: 14,901.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,118.32 : 48,182.11 = 9,933.64 : x
  2. Step 2: Convert to fraction form
    32,118.32/48,182.11 = 9,933.64/x
  3. Step 3: Cross multiply
    32,118.32x = 48,182.11 × 9,933.64
  4. Step 4: Simplify right side
    32,118.32x = 478,623,589.89
  5. Step 5: Solve for x
    x = 478,623,589.89/32,118.32
  6. Step 6: Final answer
    x = 14,901.89

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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.