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Finding the Fourth Proportional to 61,461.87, 92,161.92 and 35,824.44

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Solution

The fourth proportional to 61,461.87, 92,161.92 and 35,824.44 is: 53,718.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,461.87 : 92,161.92 = 35,824.44 : x
  2. Step 2: Convert to fraction form
    61,461.87/92,161.92 = 35,824.44/x
  3. Step 3: Cross multiply
    61,461.87x = 92,161.92 × 35,824.44
  4. Step 4: Simplify right side
    61,461.87x = 3,301,649,173.32
  5. Step 5: Solve for x
    x = 3,301,649,173.32/61,461.87
  6. Step 6: Final answer
    x = 53,718.66

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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.