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Finding the Fourth Proportional to 32,095.64, 48,148.07 and 9,910.73

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Solution

The fourth proportional to 32,095.64, 48,148.07 and 9,910.73 is: 14,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,095.64 : 48,148.07 = 9,910.73 : x
  2. Step 2: Convert to fraction form
    32,095.64/48,148.07 = 9,910.73/x
  3. Step 3: Cross multiply
    32,095.64x = 48,148.07 × 9,910.73
  4. Step 4: Simplify right side
    32,095.64x = 477,182,231.50
  5. Step 5: Solve for x
    x = 477,182,231.50/32,095.64
  6. Step 6: Final answer
    x = 14,867.51

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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.