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Finding the Fourth Proportional to 32,219.16, 48,323.26 and 8,840.13

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Solution

The fourth proportional to 32,219.16, 48,323.26 and 8,840.13 is: 13,258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,219.16 : 48,323.26 = 8,840.13 : x
  2. Step 2: Convert to fraction form
    32,219.16/48,323.26 = 8,840.13/x
  3. Step 3: Cross multiply
    32,219.16x = 48,323.26 × 8,840.13
  4. Step 4: Simplify right side
    32,219.16x = 427,183,900.42
  5. Step 5: Solve for x
    x = 427,183,900.42/32,219.16
  6. Step 6: Final answer
    x = 13,258.69

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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.