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Finding the Fourth Proportional to 105,772.64, 145,963.71 and 58,025.57

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Solution

The fourth proportional to 105,772.64, 145,963.71 and 58,025.57 is: 80,073.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,772.64 : 145,963.71 = 58,025.57 : x
  2. Step 2: Convert to fraction form
    105,772.64/145,963.71 = 58,025.57/x
  3. Step 3: Cross multiply
    105,772.64x = 145,963.71 × 58,025.57
  4. Step 4: Simplify right side
    105,772.64x = 8,469,627,836.97
  5. Step 5: Solve for x
    x = 8,469,627,836.97/105,772.64
  6. Step 6: Final answer
    x = 80,073.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.