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Finding the Fourth Proportional to 89,498.44, 123,384.30 and 71,410.59

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Solution

The fourth proportional to 89,498.44, 123,384.30 and 71,410.59 is: 98,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,498.44 : 123,384.30 = 71,410.59 : x
  2. Step 2: Convert to fraction form
    89,498.44/123,384.30 = 71,410.59/x
  3. Step 3: Cross multiply
    89,498.44x = 123,384.30 × 71,410.59
  4. Step 4: Simplify right side
    89,498.44x = 8,810,945,659.74
  5. Step 5: Solve for x
    x = 8,810,945,659.74/89,498.44
  6. Step 6: Final answer
    x = 98,448.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.