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Finding the Fourth Proportional to 97,854.86, 146,782.02 and 27,734.78

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Solution

The fourth proportional to 97,854.86, 146,782.02 and 27,734.78 is: 41,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,854.86 : 146,782.02 = 27,734.78 : x
  2. Step 2: Convert to fraction form
    97,854.86/146,782.02 = 27,734.78/x
  3. Step 3: Cross multiply
    97,854.86x = 146,782.02 × 27,734.78
  4. Step 4: Simplify right side
    97,854.86x = 4,070,967,032.66
  5. Step 5: Solve for x
    x = 4,070,967,032.66/97,854.86
  6. Step 6: Final answer
    x = 41,602.09

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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.