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Finding the Fourth Proportional to 106,695.60, 160,039.20 and 27,810.48

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Solution

The fourth proportional to 106,695.60, 160,039.20 and 27,810.48 is: 41,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,695.60 : 160,039.20 = 27,810.48 : x
  2. Step 2: Convert to fraction form
    106,695.60/160,039.20 = 27,810.48/x
  3. Step 3: Cross multiply
    106,695.60x = 160,039.20 × 27,810.48
  4. Step 4: Simplify right side
    106,695.60x = 4,450,766,970.82
  5. Step 5: Solve for x
    x = 4,450,766,970.82/106,695.60
  6. Step 6: Final answer
    x = 41,714.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.