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Finding the Fourth Proportional to 35,659.84, 53,491 and 16,930.22

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Solution

The fourth proportional to 35,659.84, 53,491 and 16,930.22 is: 25,395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,659.84 : 53,491 = 16,930.22 : x
  2. Step 2: Convert to fraction form
    35,659.84/53,491 = 16,930.22/x
  3. Step 3: Cross multiply
    35,659.84x = 53,491 × 16,930.22
  4. Step 4: Simplify right side
    35,659.84x = 905,614,398.02
  5. Step 5: Solve for x
    x = 905,614,398.02/35,659.84
  6. Step 6: Final answer
    x = 25,395.92

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1.5x scale

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.