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Finding the Fourth Proportional to 32,009.31, 48,024.24 and 13,298.31

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Solution

The fourth proportional to 32,009.31, 48,024.24 and 13,298.31 is: 19,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.31 : 48,024.24 = 13,298.31 : x
  2. Step 2: Convert to fraction form
    32,009.31/48,024.24 = 13,298.31/x
  3. Step 3: Cross multiply
    32,009.31x = 48,024.24 × 13,298.31
  4. Step 4: Simplify right side
    32,009.31x = 638,641,231.03
  5. Step 5: Solve for x
    x = 638,641,231.03/32,009.31
  6. Step 6: Final answer
    x = 19,951.73

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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.