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Finding the Fourth Proportional to 54,311.40, 81,369.90 and 46,535.40

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Solution

The fourth proportional to 54,311.40, 81,369.90 and 46,535.40 is: 69,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,311.40 : 81,369.90 = 46,535.40 : x
  2. Step 2: Convert to fraction form
    54,311.40/81,369.90 = 46,535.40/x
  3. Step 3: Cross multiply
    54,311.40x = 81,369.90 × 46,535.40
  4. Step 4: Simplify right side
    54,311.40x = 3,786,580,844.46
  5. Step 5: Solve for x
    x = 3,786,580,844.46/54,311.40
  6. Step 6: Final answer
    x = 69,719.82

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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.