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Finding the Fourth Proportional to 73,848.27, 110,768.76 and 27,097.50

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Solution

The fourth proportional to 73,848.27, 110,768.76 and 27,097.50 is: 40,644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,848.27 : 110,768.76 = 27,097.50 : x
  2. Step 2: Convert to fraction form
    73,848.27/110,768.76 = 27,097.50/x
  3. Step 3: Cross multiply
    73,848.27x = 110,768.76 × 27,097.50
  4. Step 4: Simplify right side
    73,848.27x = 3,001,556,474.10
  5. Step 5: Solve for x
    x = 3,001,556,474.10/73,848.27
  6. Step 6: Final answer
    x = 40,644.91

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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.