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Finding the Fourth Proportional to 32,191.14, 48,294.17 and 10,003.32

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Solution

The fourth proportional to 32,191.14, 48,294.17 and 10,003.32 is: 15,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,191.14 : 48,294.17 = 10,003.32 : x
  2. Step 2: Convert to fraction form
    32,191.14/48,294.17 = 10,003.32/x
  3. Step 3: Cross multiply
    32,191.14x = 48,294.17 × 10,003.32
  4. Step 4: Simplify right side
    32,191.14x = 483,102,036.64
  5. Step 5: Solve for x
    x = 483,102,036.64/32,191.14
  6. Step 6: Final answer
    x = 15,007.30

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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.