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Finding the Fourth Proportional to 97,853.86, 146,780.52 and 27,733.78

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Solution

The fourth proportional to 97,853.86, 146,780.52 and 27,733.78 is: 41,600.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,853.86 : 146,780.52 = 27,733.78 : x
  2. Step 2: Convert to fraction form
    97,853.86/146,780.52 = 27,733.78/x
  3. Step 3: Cross multiply
    97,853.86x = 146,780.52 × 27,733.78
  4. Step 4: Simplify right side
    97,853.86x = 4,070,778,649.97
  5. Step 5: Solve for x
    x = 4,070,778,649.97/97,853.86
  6. Step 6: Final answer
    x = 41,600.59

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1.5x scale

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.