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Finding the Fourth Proportional to 32,047.20, 44,162.65 and 23,077.75

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Solution

The fourth proportional to 32,047.20, 44,162.65 and 23,077.75 is: 31,802.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,047.20 : 44,162.65 = 23,077.75 : x
  2. Step 2: Convert to fraction form
    32,047.20/44,162.65 = 23,077.75/x
  3. Step 3: Cross multiply
    32,047.20x = 44,162.65 × 23,077.75
  4. Step 4: Simplify right side
    32,047.20x = 1,019,174,596.04
  5. Step 5: Solve for x
    x = 1,019,174,596.04/32,047.20
  6. Step 6: Final answer
    x = 31,802.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.