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Finding the Fourth Proportional to 97,862.85, 146,794.28 and 27,742.77

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Solution

The fourth proportional to 97,862.85, 146,794.28 and 27,742.77 is: 41,614.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,862.85 : 146,794.28 = 27,742.77 : x
  2. Step 2: Convert to fraction form
    97,862.85/146,794.28 = 27,742.77/x
  3. Step 3: Cross multiply
    97,862.85x = 146,794.28 × 27,742.77
  4. Step 4: Simplify right side
    97,862.85x = 4,072,479,808.64
  5. Step 5: Solve for x
    x = 4,072,479,808.64/97,862.85
  6. Step 6: Final answer
    x = 41,614.16

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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.