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Finding the Fourth Proportional to 99,692.32, 137,565.84 and 54,977.44

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Solution

The fourth proportional to 99,692.32, 137,565.84 and 54,977.44 is: 75,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,692.32 : 137,565.84 = 54,977.44 : x
  2. Step 2: Convert to fraction form
    99,692.32/137,565.84 = 54,977.44/x
  3. Step 3: Cross multiply
    99,692.32x = 137,565.84 × 54,977.44
  4. Step 4: Simplify right side
    99,692.32x = 7,563,017,714.65
  5. Step 5: Solve for x
    x = 7,563,017,714.65/99,692.32
  6. Step 6: Final answer
    x = 75,863.59

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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.