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Finding the Fourth Proportional to 114,431, 171,672.46 and 40,559

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Solution

The fourth proportional to 114,431, 171,672.46 and 40,559 is: 60,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,431 : 171,672.46 = 40,559 : x
  2. Step 2: Convert to fraction form
    114,431/171,672.46 = 40,559/x
  3. Step 3: Cross multiply
    114,431x = 171,672.46 × 40,559
  4. Step 4: Simplify right side
    114,431x = 6,962,863,305.14
  5. Step 5: Solve for x
    x = 6,962,863,305.14/114,431
  6. Step 6: Final answer
    x = 60,847.70

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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.