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Finding the Fourth Proportional to 65,002.37, 89,702.14 and 36,322.61

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Solution

The fourth proportional to 65,002.37, 89,702.14 and 36,322.61 is: 50,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,002.37 : 89,702.14 = 36,322.61 : x
  2. Step 2: Convert to fraction form
    65,002.37/89,702.14 = 36,322.61/x
  3. Step 3: Cross multiply
    65,002.37x = 89,702.14 × 36,322.61
  4. Step 4: Simplify right side
    65,002.37x = 3,258,215,847.39
  5. Step 5: Solve for x
    x = 3,258,215,847.39/65,002.37
  6. Step 6: Final answer
    x = 50,124.57

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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.