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Finding the Fourth Proportional to 32,464.10, 48,662.55 and 17,641.70

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Solution

The fourth proportional to 32,464.10, 48,662.55 and 17,641.70 is: 26,444.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,464.10 : 48,662.55 = 17,641.70 : x
  2. Step 2: Convert to fraction form
    32,464.10/48,662.55 = 17,641.70/x
  3. Step 3: Cross multiply
    32,464.10x = 48,662.55 × 17,641.70
  4. Step 4: Simplify right side
    32,464.10x = 858,490,108.34
  5. Step 5: Solve for x
    x = 858,490,108.34/32,464.10
  6. Step 6: Final answer
    x = 26,444.29

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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.