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Finding the Fourth Proportional to 92,589.84, 138,856.04 and 33,417.80

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Solution

The fourth proportional to 92,589.84, 138,856.04 and 33,417.80 is: 50,116.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,589.84 : 138,856.04 = 33,417.80 : x
  2. Step 2: Convert to fraction form
    92,589.84/138,856.04 = 33,417.80/x
  3. Step 3: Cross multiply
    92,589.84x = 138,856.04 × 33,417.80
  4. Step 4: Simplify right side
    92,589.84x = 4,640,263,373.51
  5. Step 5: Solve for x
    x = 4,640,263,373.51/92,589.84
  6. Step 6: Final answer
    x = 50,116.33

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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.