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Finding the Fourth Proportional to 65,209.77, 97,814.69 and 35,611.43

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Solution

The fourth proportional to 65,209.77, 97,814.69 and 35,611.43 is: 53,417.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.77 : 97,814.69 = 35,611.43 : x
  2. Step 2: Convert to fraction form
    65,209.77/97,814.69 = 35,611.43/x
  3. Step 3: Cross multiply
    65,209.77x = 97,814.69 × 35,611.43
  4. Step 4: Simplify right side
    65,209.77x = 3,483,320,318.78
  5. Step 5: Solve for x
    x = 3,483,320,318.78/65,209.77
  6. Step 6: Final answer
    x = 53,417.15

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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.