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Finding the Fourth Proportional to 32,085.06, 48,109.97 and 9,892.28

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Solution

The fourth proportional to 32,085.06, 48,109.97 and 9,892.28 is: 14,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085.06 : 48,109.97 = 9,892.28 : x
  2. Step 2: Convert to fraction form
    32,085.06/48,109.97 = 9,892.28/x
  3. Step 3: Cross multiply
    32,085.06x = 48,109.97 × 9,892.28
  4. Step 4: Simplify right side
    32,085.06x = 475,917,004.02
  5. Step 5: Solve for x
    x = 475,917,004.02/32,085.06
  6. Step 6: Final answer
    x = 14,832.98

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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.