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Finding the Fourth Proportional to 32,231.31, 48,289.77 and 13,470

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Solution

The fourth proportional to 32,231.31, 48,289.77 and 13,470 is: 20,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231.31 : 48,289.77 = 13,470 : x
  2. Step 2: Convert to fraction form
    32,231.31/48,289.77 = 13,470/x
  3. Step 3: Cross multiply
    32,231.31x = 48,289.77 × 13,470
  4. Step 4: Simplify right side
    32,231.31x = 650,463,201.90
  5. Step 5: Solve for x
    x = 650,463,201.90/32,231.31
  6. Step 6: Final answer
    x = 20,181.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.