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Finding the Fourth Proportional to 65,143.95, 89,900.85 and 38,286.07

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Solution

The fourth proportional to 65,143.95, 89,900.85 and 38,286.07 is: 52,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,143.95 : 89,900.85 = 38,286.07 : x
  2. Step 2: Convert to fraction form
    65,143.95/89,900.85 = 38,286.07/x
  3. Step 3: Cross multiply
    65,143.95x = 89,900.85 × 38,286.07
  4. Step 4: Simplify right side
    65,143.95x = 3,441,950,154.98
  5. Step 5: Solve for x
    x = 3,441,950,154.98/65,143.95
  6. Step 6: Final answer
    x = 52,836.07

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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.