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Finding the Fourth Proportional to 106,810.61, 160,225.01 and 27,924.71

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Solution

The fourth proportional to 106,810.61, 160,225.01 and 27,924.71 is: 41,889.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,810.61 : 160,225.01 = 27,924.71 : x
  2. Step 2: Convert to fraction form
    106,810.61/160,225.01 = 27,924.71/x
  3. Step 3: Cross multiply
    106,810.61x = 160,225.01 × 27,924.71
  4. Step 4: Simplify right side
    106,810.61x = 4,474,236,799.37
  5. Step 5: Solve for x
    x = 4,474,236,799.37/106,810.61
  6. Step 6: Final answer
    x = 41,889.44

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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.