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Finding the Fourth Proportional to 73,243.74, 109,777.71 and 37,721.77

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Solution

The fourth proportional to 73,243.74, 109,777.71 and 37,721.77 is: 56,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,243.74 : 109,777.71 = 37,721.77 : x
  2. Step 2: Convert to fraction form
    73,243.74/109,777.71 = 37,721.77/x
  3. Step 3: Cross multiply
    73,243.74x = 109,777.71 × 37,721.77
  4. Step 4: Simplify right side
    73,243.74x = 4,141,009,339.14
  5. Step 5: Solve for x
    x = 4,141,009,339.14/73,243.74
  6. Step 6: Final answer
    x = 56,537.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.