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Finding the Fourth Proportional to 43,748.70, 65,655.45 and 32,084.70

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Solution

The fourth proportional to 43,748.70, 65,655.45 and 32,084.70 is: 48,150.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,748.70 : 65,655.45 = 32,084.70 : x
  2. Step 2: Convert to fraction form
    43,748.70/65,655.45 = 32,084.70/x
  3. Step 3: Cross multiply
    43,748.70x = 65,655.45 × 32,084.70
  4. Step 4: Simplify right side
    43,748.70x = 2,106,535,416.62
  5. Step 5: Solve for x
    x = 2,106,535,416.62/43,748.70
  6. Step 6: Final answer
    x = 48,150.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.