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Finding the Fourth Proportional to 32,076.06, 48,114.42 and 9,889.26

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Solution

The fourth proportional to 32,076.06, 48,114.42 and 9,889.26 is: 14,833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.06 : 48,114.42 = 9,889.26 : x
  2. Step 2: Convert to fraction form
    32,076.06/48,114.42 = 9,889.26/x
  3. Step 3: Cross multiply
    32,076.06x = 48,114.42 × 9,889.26
  4. Step 4: Simplify right side
    32,076.06x = 475,816,009.13
  5. Step 5: Solve for x
    x = 475,816,009.13/32,076.06
  6. Step 6: Final answer
    x = 14,833.99

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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.