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Finding the Fourth Proportional to 65,096.61, 89,829.07 and 36,411.30

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Solution

The fourth proportional to 65,096.61, 89,829.07 and 36,411.30 is: 50,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,096.61 : 89,829.07 = 36,411.30 : x
  2. Step 2: Convert to fraction form
    65,096.61/89,829.07 = 36,411.30/x
  3. Step 3: Cross multiply
    65,096.61x = 89,829.07 × 36,411.30
  4. Step 4: Simplify right side
    65,096.61x = 3,270,793,216.49
  5. Step 5: Solve for x
    x = 3,270,793,216.49/65,096.61
  6. Step 6: Final answer
    x = 50,245.22

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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.