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Finding the Fourth Proportional to 65,343.83, 90,173.30 and 36,664.02

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Solution

The fourth proportional to 65,343.83, 90,173.30 and 36,664.02 is: 50,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,343.83 : 90,173.30 = 36,664.02 : x
  2. Step 2: Convert to fraction form
    65,343.83/90,173.30 = 36,664.02/x
  3. Step 3: Cross multiply
    65,343.83x = 90,173.30 × 36,664.02
  4. Step 4: Simplify right side
    65,343.83x = 3,306,115,491.35
  5. Step 5: Solve for x
    x = 3,306,115,491.35/65,343.83
  6. Step 6: Final answer
    x = 50,595.68

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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.