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Finding the Fourth Proportional to 66,535.30, 99,814.47 and 27,113.86

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Solution

The fourth proportional to 66,535.30, 99,814.47 and 27,113.86 is: 40,675.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,535.30 : 99,814.47 = 27,113.86 : x
  2. Step 2: Convert to fraction form
    66,535.30/99,814.47 = 27,113.86/x
  3. Step 3: Cross multiply
    66,535.30x = 99,814.47 × 27,113.86
  4. Step 4: Simplify right side
    66,535.30x = 2,706,355,565.55
  5. Step 5: Solve for x
    x = 2,706,355,565.55/66,535.30
  6. Step 6: Final answer
    x = 40,675.48

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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.