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Finding the Fourth Proportional to 69,865.20, 96,408.54 and 38,033.46

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Solution

The fourth proportional to 69,865.20, 96,408.54 and 38,033.46 is: 52,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,865.20 : 96,408.54 = 38,033.46 : x
  2. Step 2: Convert to fraction form
    69,865.20/96,408.54 = 38,033.46/x
  3. Step 3: Cross multiply
    69,865.20x = 96,408.54 × 38,033.46
  4. Step 4: Simplify right side
    69,865.20x = 3,666,750,349.75
  5. Step 5: Solve for x
    x = 3,666,750,349.75/69,865.20
  6. Step 6: Final answer
    x = 52,483.22

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