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Finding the Fourth Proportional to 106,322.71, 146,731.97 and 58,576.05

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Solution

The fourth proportional to 106,322.71, 146,731.97 and 58,576.05 is: 80,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,322.71 : 146,731.97 = 58,576.05 : x
  2. Step 2: Convert to fraction form
    106,322.71/146,731.97 = 58,576.05/x
  3. Step 3: Cross multiply
    106,322.71x = 146,731.97 × 58,576.05
  4. Step 4: Simplify right side
    106,322.71x = 8,594,979,211.32
  5. Step 5: Solve for x
    x = 8,594,979,211.32/106,322.71
  6. Step 6: Final answer
    x = 80,838.60

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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.