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Finding the Fourth Proportional to 61,297.54, 91,899.56 and 31,696.50

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Solution

The fourth proportional to 61,297.54, 91,899.56 and 31,696.50 is: 47,520.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,297.54 : 91,899.56 = 31,696.50 : x
  2. Step 2: Convert to fraction form
    61,297.54/91,899.56 = 31,696.50/x
  3. Step 3: Cross multiply
    61,297.54x = 91,899.56 × 31,696.50
  4. Step 4: Simplify right side
    61,297.54x = 2,912,894,403.54
  5. Step 5: Solve for x
    x = 2,912,894,403.54/61,297.54
  6. Step 6: Final answer
    x = 47,520.58

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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.