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Finding the Fourth Proportional to 103,806.85, 155,677.47 and 37,245.49

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Solution

The fourth proportional to 103,806.85, 155,677.47 and 37,245.49 is: 55,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,806.85 : 155,677.47 = 37,245.49 : x
  2. Step 2: Convert to fraction form
    103,806.85/155,677.47 = 37,245.49/x
  3. Step 3: Cross multiply
    103,806.85x = 155,677.47 × 37,245.49
  4. Step 4: Simplify right side
    103,806.85x = 5,798,283,652.11
  5. Step 5: Solve for x
    x = 5,798,283,652.11/103,806.85
  6. Step 6: Final answer
    x = 55,856.46

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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.