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Finding the Fourth Proportional to 106,432.88, 146,870.64 and 58,686.62

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Solution

The fourth proportional to 106,432.88, 146,870.64 and 58,686.62 is: 80,983.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,432.88 : 146,870.64 = 58,686.62 : x
  2. Step 2: Convert to fraction form
    106,432.88/146,870.64 = 58,686.62/x
  3. Step 3: Cross multiply
    106,432.88x = 146,870.64 × 58,686.62
  4. Step 4: Simplify right side
    106,432.88x = 8,619,340,704.48
  5. Step 5: Solve for x
    x = 8,619,340,704.48/106,432.88
  6. Step 6: Final answer
    x = 80,983.82

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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.