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Finding the Fourth Proportional to 32,005.64, 47,888.16 and 30,318

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Solution

The fourth proportional to 32,005.64, 47,888.16 and 30,318 is: 45,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.64 : 47,888.16 = 30,318 : x
  2. Step 2: Convert to fraction form
    32,005.64/47,888.16 = 30,318/x
  3. Step 3: Cross multiply
    32,005.64x = 47,888.16 × 30,318
  4. Step 4: Simplify right side
    32,005.64x = 1,451,873,234.88
  5. Step 5: Solve for x
    x = 1,451,873,234.88/32,005.64
  6. Step 6: Final answer
    x = 45,363.05

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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.