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Finding the Fourth Proportional to 65,024.34, 89,732.49 and 36,344.70

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Solution

The fourth proportional to 65,024.34, 89,732.49 and 36,344.70 is: 50,155.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,024.34 : 89,732.49 = 36,344.70 : x
  2. Step 2: Convert to fraction form
    65,024.34/89,732.49 = 36,344.70/x
  3. Step 3: Cross multiply
    65,024.34x = 89,732.49 × 36,344.70
  4. Step 4: Simplify right side
    65,024.34x = 3,261,300,429.30
  5. Step 5: Solve for x
    x = 3,261,300,429.30/65,024.34
  6. Step 6: Final answer
    x = 50,155.07

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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.