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Finding the Fourth Proportional to 106,562.76, 147,052.62 and 58,815.24

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Solution

The fourth proportional to 106,562.76, 147,052.62 and 58,815.24 is: 81,162.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,562.76 : 147,052.62 = 58,815.24 : x
  2. Step 2: Convert to fraction form
    106,562.76/147,052.62 = 58,815.24/x
  3. Step 3: Cross multiply
    106,562.76x = 147,052.62 × 58,815.24
  4. Step 4: Simplify right side
    106,562.76x = 8,648,935,137.93
  5. Step 5: Solve for x
    x = 8,648,935,137.93/106,562.76
  6. Step 6: Final answer
    x = 81,162.83

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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.