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Finding the Fourth Proportional to 66,197.94, 99,307.80 and 21,827.34

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Solution

The fourth proportional to 66,197.94, 99,307.80 and 21,827.34 is: 32,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,197.94 : 99,307.80 = 21,827.34 : x
  2. Step 2: Convert to fraction form
    66,197.94/99,307.80 = 21,827.34/x
  3. Step 3: Cross multiply
    66,197.94x = 99,307.80 × 21,827.34
  4. Step 4: Simplify right side
    66,197.94x = 2,167,625,115.25
  5. Step 5: Solve for x
    x = 2,167,625,115.25/66,197.94
  6. Step 6: Final answer
    x = 32,744.60

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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.