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Finding the Fourth Proportional to 32,601.80, 48,906.30 and 10,411.40

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Solution

The fourth proportional to 32,601.80, 48,906.30 and 10,411.40 is: 15,618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,601.80 : 48,906.30 = 10,411.40 : x
  2. Step 2: Convert to fraction form
    32,601.80/48,906.30 = 10,411.40/x
  3. Step 3: Cross multiply
    32,601.80x = 48,906.30 × 10,411.40
  4. Step 4: Simplify right side
    32,601.80x = 509,183,051.82
  5. Step 5: Solve for x
    x = 509,183,051.82/32,601.80
  6. Step 6: Final answer
    x = 15,618.25

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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.