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Finding the Fourth Proportional to 115,405.94, 173,082.18 and 36,505.46

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Solution

The fourth proportional to 115,405.94, 173,082.18 and 36,505.46 is: 54,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,405.94 : 173,082.18 = 36,505.46 : x
  2. Step 2: Convert to fraction form
    115,405.94/173,082.18 = 36,505.46/x
  3. Step 3: Cross multiply
    115,405.94x = 173,082.18 × 36,505.46
  4. Step 4: Simplify right side
    115,405.94x = 6,318,444,598.70
  5. Step 5: Solve for x
    x = 6,318,444,598.70/115,405.94
  6. Step 6: Final answer
    x = 54,749.73

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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.