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Finding the Fourth Proportional to 61,198.40, 91,742.93 and 29,590.78

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Solution

The fourth proportional to 61,198.40, 91,742.93 and 29,590.78 is: 44,359.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,198.40 : 91,742.93 = 29,590.78 : x
  2. Step 2: Convert to fraction form
    61,198.40/91,742.93 = 29,590.78/x
  3. Step 3: Cross multiply
    61,198.40x = 91,742.93 × 29,590.78
  4. Step 4: Simplify right side
    61,198.40x = 2,714,744,858.19
  5. Step 5: Solve for x
    x = 2,714,744,858.19/61,198.40
  6. Step 6: Final answer
    x = 44,359.74

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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.