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Finding the Fourth Proportional to 51,859.98, 77,789.97 and 29,657.78

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Solution

The fourth proportional to 51,859.98, 77,789.97 and 29,657.78 is: 44,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,859.98 : 77,789.97 = 29,657.78 : x
  2. Step 2: Convert to fraction form
    51,859.98/77,789.97 = 29,657.78/x
  3. Step 3: Cross multiply
    51,859.98x = 77,789.97 × 29,657.78
  4. Step 4: Simplify right side
    51,859.98x = 2,307,077,719.23
  5. Step 5: Solve for x
    x = 2,307,077,719.23/51,859.98
  6. Step 6: Final answer
    x = 44,486.67

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Similar ratio
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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.