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Finding the Fourth Proportional to 106,322.58, 146,731.80 and 58,575.93

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Solution

The fourth proportional to 106,322.58, 146,731.80 and 58,575.93 is: 80,838.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,322.58 : 146,731.80 = 58,575.93 : x
  2. Step 2: Convert to fraction form
    106,322.58/146,731.80 = 58,575.93/x
  3. Step 3: Cross multiply
    106,322.58x = 146,731.80 × 58,575.93
  4. Step 4: Simplify right side
    106,322.58x = 8,594,951,645.57
  5. Step 5: Solve for x
    x = 8,594,951,645.57/106,322.58
  6. Step 6: Final answer
    x = 80,838.44

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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.