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Finding the Fourth Proportional to 65,701.25, 90,668.13 and 35,893.25

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Solution

The fourth proportional to 65,701.25, 90,668.13 and 35,893.25 is: 49,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,701.25 : 90,668.13 = 35,893.25 : x
  2. Step 2: Convert to fraction form
    65,701.25/90,668.13 = 35,893.25/x
  3. Step 3: Cross multiply
    65,701.25x = 90,668.13 × 35,893.25
  4. Step 4: Simplify right side
    65,701.25x = 3,254,373,857.12
  5. Step 5: Solve for x
    x = 3,254,373,857.12/65,701.25
  6. Step 6: Final answer
    x = 49,532.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.