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Finding the Fourth Proportional to 73,874.81, 101,935.35 and 42,044.24

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Solution

The fourth proportional to 73,874.81, 101,935.35 and 42,044.24 is: 58,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,874.81 : 101,935.35 = 42,044.24 : x
  2. Step 2: Convert to fraction form
    73,874.81/101,935.35 = 42,044.24/x
  3. Step 3: Cross multiply
    73,874.81x = 101,935.35 × 42,044.24
  4. Step 4: Simplify right side
    73,874.81x = 4,285,793,810.21
  5. Step 5: Solve for x
    x = 4,285,793,810.21/73,874.81
  6. Step 6: Final answer
    x = 58,014.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.