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Finding the Fourth Proportional to 32,003.32, 48,003.62 and 9,815.52

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Solution

The fourth proportional to 32,003.32, 48,003.62 and 9,815.52 is: 14,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.32 : 48,003.62 = 9,815.52 : x
  2. Step 2: Convert to fraction form
    32,003.32/48,003.62 = 9,815.52/x
  3. Step 3: Cross multiply
    32,003.32x = 48,003.62 × 9,815.52
  4. Step 4: Simplify right side
    32,003.32x = 471,180,492.18
  5. Step 5: Solve for x
    x = 471,180,492.18/32,003.32
  6. Step 6: Final answer
    x = 14,722.86

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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.