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Finding the Fourth Proportional to 53,417.68, 73,721.92 and 30,757.44

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Solution

The fourth proportional to 53,417.68, 73,721.92 and 30,757.44 is: 42,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,417.68 : 73,721.92 = 30,757.44 : x
  2. Step 2: Convert to fraction form
    53,417.68/73,721.92 = 30,757.44/x
  3. Step 3: Cross multiply
    53,417.68x = 73,721.92 × 30,757.44
  4. Step 4: Simplify right side
    53,417.68x = 2,267,497,531.08
  5. Step 5: Solve for x
    x = 2,267,497,531.08/53,417.68
  6. Step 6: Final answer
    x = 42,448.45

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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.