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Finding the Fourth Proportional to 65,151.45, 89,911.20 and 38,293.58

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Solution

The fourth proportional to 65,151.45, 89,911.20 and 38,293.58 is: 52,846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,151.45 : 89,911.20 = 38,293.58 : x
  2. Step 2: Convert to fraction form
    65,151.45/89,911.20 = 38,293.58/x
  3. Step 3: Cross multiply
    65,151.45x = 89,911.20 × 38,293.58
  4. Step 4: Simplify right side
    65,151.45x = 3,443,021,280.54
  5. Step 5: Solve for x
    x = 3,443,021,280.54/65,151.45
  6. Step 6: Final answer
    x = 52,846.43

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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.