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Finding the Fourth Proportional to 49,812.36, 74,724 and 24,858.68

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Solution

The fourth proportional to 49,812.36, 74,724 and 24,858.68 is: 37,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,812.36 : 74,724 = 24,858.68 : x
  2. Step 2: Convert to fraction form
    49,812.36/74,724 = 24,858.68/x
  3. Step 3: Cross multiply
    49,812.36x = 74,724 × 24,858.68
  4. Step 4: Simplify right side
    49,812.36x = 1,857,540,004.32
  5. Step 5: Solve for x
    x = 1,857,540,004.32/49,812.36
  6. Step 6: Final answer
    x = 37,290.74

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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.