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Finding the Fourth Proportional to 65,137.58, 89,891.47 and 36,457.00

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Solution

The fourth proportional to 65,137.58, 89,891.47 and 36,457.00 is: 50,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,137.58 : 89,891.47 = 36,457.00 : x
  2. Step 2: Convert to fraction form
    65,137.58/89,891.47 = 36,457.00/x
  3. Step 3: Cross multiply
    65,137.58x = 89,891.47 × 36,457.00
  4. Step 4: Simplify right side
    65,137.58x = 3,277,173,648.27
  5. Step 5: Solve for x
    x = 3,277,173,648.27/65,137.58
  6. Step 6: Final answer
    x = 50,311.56

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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.