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Finding the Fourth Proportional to 61,164.99, 91,730.84 and 16,781.22

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Solution

The fourth proportional to 61,164.99, 91,730.84 and 16,781.22 is: 25,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,164.99 : 91,730.84 = 16,781.22 : x
  2. Step 2: Convert to fraction form
    61,164.99/91,730.84 = 16,781.22/x
  3. Step 3: Cross multiply
    61,164.99x = 91,730.84 × 16,781.22
  4. Step 4: Simplify right side
    61,164.99x = 1,539,355,322.92
  5. Step 5: Solve for x
    x = 1,539,355,322.92/61,164.99
  6. Step 6: Final answer
    x = 25,167.26

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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.