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Finding the Fourth Proportional to 35,871.28, 53,806.74 and 9,217.24

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Solution

The fourth proportional to 35,871.28, 53,806.74 and 9,217.24 is: 13,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,871.28 : 53,806.74 = 9,217.24 : x
  2. Step 2: Convert to fraction form
    35,871.28/53,806.74 = 9,217.24/x
  3. Step 3: Cross multiply
    35,871.28x = 53,806.74 × 9,217.24
  4. Step 4: Simplify right side
    35,871.28x = 495,949,636.20
  5. Step 5: Solve for x
    x = 495,949,636.20/35,871.28
  6. Step 6: Final answer
    x = 13,825.81

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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.