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Finding the Fourth Proportional to 32,319.76, 48,464.23 and 11,257.21

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Solution

The fourth proportional to 32,319.76, 48,464.23 and 11,257.21 is: 16,880.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,319.76 : 48,464.23 = 11,257.21 : x
  2. Step 2: Convert to fraction form
    32,319.76/48,464.23 = 11,257.21/x
  3. Step 3: Cross multiply
    32,319.76x = 48,464.23 × 11,257.21
  4. Step 4: Simplify right side
    32,319.76x = 545,572,162.79
  5. Step 5: Solve for x
    x = 545,572,162.79/32,319.76
  6. Step 6: Final answer
    x = 16,880.45

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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.