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Finding the Fourth Proportional to 66,461.66, 99,692.48 and 19,714.14

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Solution

The fourth proportional to 66,461.66, 99,692.48 and 19,714.14 is: 29,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,461.66 : 99,692.48 = 19,714.14 : x
  2. Step 2: Convert to fraction form
    66,461.66/99,692.48 = 19,714.14/x
  3. Step 3: Cross multiply
    66,461.66x = 99,692.48 × 19,714.14
  4. Step 4: Simplify right side
    66,461.66x = 1,965,351,507.67
  5. Step 5: Solve for x
    x = 1,965,351,507.67/66,461.66
  6. Step 6: Final answer
    x = 29,571.21

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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.