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Finding the Fourth Proportional to 73,042.71, 109,518.50 and 33,549.14

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Solution

The fourth proportional to 73,042.71, 109,518.50 and 33,549.14 is: 50,302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,042.71 : 109,518.50 = 33,549.14 : x
  2. Step 2: Convert to fraction form
    73,042.71/109,518.50 = 33,549.14/x
  3. Step 3: Cross multiply
    73,042.71x = 109,518.50 × 33,549.14
  4. Step 4: Simplify right side
    73,042.71x = 3,674,250,773.75
  5. Step 5: Solve for x
    x = 3,674,250,773.75/73,042.71
  6. Step 6: Final answer
    x = 50,302.77

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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.