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Finding the Fourth Proportional to 114,285.46, 171,439.46 and 39,395.74

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Solution

The fourth proportional to 114,285.46, 171,439.46 and 39,395.74 is: 59,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,285.46 : 171,439.46 = 39,395.74 : x
  2. Step 2: Convert to fraction form
    114,285.46/171,439.46 = 39,395.74/x
  3. Step 3: Cross multiply
    114,285.46x = 171,439.46 × 39,395.74
  4. Step 4: Simplify right side
    114,285.46x = 6,753,984,391.90
  5. Step 5: Solve for x
    x = 6,753,984,391.90/114,285.46
  6. Step 6: Final answer
    x = 59,097.50

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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.