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Finding the Fourth Proportional to 49,752.48, 74,654.64 and 22,044

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Solution

The fourth proportional to 49,752.48, 74,654.64 and 22,044 is: 33,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,752.48 : 74,654.64 = 22,044 : x
  2. Step 2: Convert to fraction form
    49,752.48/74,654.64 = 22,044/x
  3. Step 3: Cross multiply
    49,752.48x = 74,654.64 × 22,044
  4. Step 4: Simplify right side
    49,752.48x = 1,645,686,884.16
  5. Step 5: Solve for x
    x = 1,645,686,884.16/49,752.48
  6. Step 6: Final answer
    x = 33,077.48

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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.