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Finding the Fourth Proportional to 65,146.58, 89,898.12 and 36,461.41

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Solution

The fourth proportional to 65,146.58, 89,898.12 and 36,461.41 is: 50,314.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.58 : 89,898.12 = 36,461.41 : x
  2. Step 2: Convert to fraction form
    65,146.58/89,898.12 = 36,461.41/x
  3. Step 3: Cross multiply
    65,146.58x = 89,898.12 × 36,461.41
  4. Step 4: Simplify right side
    65,146.58x = 3,277,812,211.55
  5. Step 5: Solve for x
    x = 3,277,812,211.55/65,146.58
  6. Step 6: Final answer
    x = 50,314.42

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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.