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Finding the Fourth Proportional to 55,809.90, 83,743.34 and 37,102.68

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Solution

The fourth proportional to 55,809.90, 83,743.34 and 37,102.68 is: 55,672.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,809.90 : 83,743.34 = 37,102.68 : x
  2. Step 2: Convert to fraction form
    55,809.90/83,743.34 = 37,102.68/x
  3. Step 3: Cross multiply
    55,809.90x = 83,743.34 × 37,102.68
  4. Step 4: Simplify right side
    55,809.90x = 3,107,102,160.64
  5. Step 5: Solve for x
    x = 3,107,102,160.64/55,809.90
  6. Step 6: Final answer
    x = 55,672.96

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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.