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Finding the Fourth Proportional to 74,574.27, 111,857.76 and 27,823.50

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Solution

The fourth proportional to 74,574.27, 111,857.76 and 27,823.50 is: 41,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,574.27 : 111,857.76 = 27,823.50 : x
  2. Step 2: Convert to fraction form
    74,574.27/111,857.76 = 27,823.50/x
  3. Step 3: Cross multiply
    74,574.27x = 111,857.76 × 27,823.50
  4. Step 4: Simplify right side
    74,574.27x = 3,112,274,385.36
  5. Step 5: Solve for x
    x = 3,112,274,385.36/74,574.27
  6. Step 6: Final answer
    x = 41,733.89

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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.