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Finding the Fourth Proportional to 77,211.74, 115,788.44 and 32,859.38

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Solution

The fourth proportional to 77,211.74, 115,788.44 and 32,859.38 is: 49,276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,211.74 : 115,788.44 = 32,859.38 : x
  2. Step 2: Convert to fraction form
    77,211.74/115,788.44 = 32,859.38/x
  3. Step 3: Cross multiply
    77,211.74x = 115,788.44 × 32,859.38
  4. Step 4: Simplify right side
    77,211.74x = 3,804,736,349.57
  5. Step 5: Solve for x
    x = 3,804,736,349.57/77,211.74
  6. Step 6: Final answer
    x = 49,276.66

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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.