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Finding the Fourth Proportional to 66,441.81, 99,645.71 and 19,683.75

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Solution

The fourth proportional to 66,441.81, 99,645.71 and 19,683.75 is: 29,520.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,441.81 : 99,645.71 = 19,683.75 : x
  2. Step 2: Convert to fraction form
    66,441.81/99,645.71 = 19,683.75/x
  3. Step 3: Cross multiply
    66,441.81x = 99,645.71 × 19,683.75
  4. Step 4: Simplify right side
    66,441.81x = 1,961,401,145.79
  5. Step 5: Solve for x
    x = 1,961,401,145.79/66,441.81
  6. Step 6: Final answer
    x = 29,520.59

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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.