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Finding the Fourth Proportional to 61,833.81, 92,754.60 and 17,464.04

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Solution

The fourth proportional to 61,833.81, 92,754.60 and 17,464.04 is: 26,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,833.81 : 92,754.60 = 17,464.04 : x
  2. Step 2: Convert to fraction form
    61,833.81/92,754.60 = 17,464.04/x
  3. Step 3: Cross multiply
    61,833.81x = 92,754.60 × 17,464.04
  4. Step 4: Simplify right side
    61,833.81x = 1,619,869,493.49
  5. Step 5: Solve for x
    x = 1,619,869,493.49/61,833.81
  6. Step 6: Final answer
    x = 26,197.15

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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.