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Finding the Fourth Proportional to 66,994.19, 100,398.34 and 29,498.07

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Solution

The fourth proportional to 66,994.19, 100,398.34 and 29,498.07 is: 44,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,994.19 : 100,398.34 = 29,498.07 : x
  2. Step 2: Convert to fraction form
    66,994.19/100,398.34 = 29,498.07/x
  3. Step 3: Cross multiply
    66,994.19x = 100,398.34 × 29,498.07
  4. Step 4: Simplify right side
    66,994.19x = 2,961,557,508.64
  5. Step 5: Solve for x
    x = 2,961,557,508.64/66,994.19
  6. Step 6: Final answer
    x = 44,206.19

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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.