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Finding the Fourth Proportional to 106,750.56, 160,125.85 and 27,864.87

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Solution

The fourth proportional to 106,750.56, 160,125.85 and 27,864.87 is: 41,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,750.56 : 160,125.85 = 27,864.87 : x
  2. Step 2: Convert to fraction form
    106,750.56/160,125.85 = 27,864.87/x
  3. Step 3: Cross multiply
    106,750.56x = 160,125.85 × 27,864.87
  4. Step 4: Simplify right side
    106,750.56x = 4,461,885,271.51
  5. Step 5: Solve for x
    x = 4,461,885,271.51/106,750.56
  6. Step 6: Final answer
    x = 41,797.30

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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.