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Finding the Fourth Proportional to 65,145.58, 89,896.74 and 36,460.41

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Solution

The fourth proportional to 65,145.58, 89,896.74 and 36,460.41 is: 50,313.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,145.58 : 89,896.74 = 36,460.41 : x
  2. Step 2: Convert to fraction form
    65,145.58/89,896.74 = 36,460.41/x
  3. Step 3: Cross multiply
    65,145.58x = 89,896.74 × 36,460.41
  4. Step 4: Simplify right side
    65,145.58x = 3,277,672,335.18
  5. Step 5: Solve for x
    x = 3,277,672,335.18/65,145.58
  6. Step 6: Final answer
    x = 50,313.04

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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.