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Finding the Fourth Proportional to 65,002.38, 89,702.14 and 36,322.62

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Solution

The fourth proportional to 65,002.38, 89,702.14 and 36,322.62 is: 50,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,002.38 : 89,702.14 = 36,322.62 : x
  2. Step 2: Convert to fraction form
    65,002.38/89,702.14 = 36,322.62/x
  3. Step 3: Cross multiply
    65,002.38x = 89,702.14 × 36,322.62
  4. Step 4: Simplify right side
    65,002.38x = 3,258,216,744.41
  5. Step 5: Solve for x
    x = 3,258,216,744.41/65,002.38
  6. Step 6: Final answer
    x = 50,124.58

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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.