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Finding the Fourth Proportional to 35,687.52, 53,532.14 and 11,995.41

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Solution

The fourth proportional to 35,687.52, 53,532.14 and 11,995.41 is: 17,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,687.52 : 53,532.14 = 11,995.41 : x
  2. Step 2: Convert to fraction form
    35,687.52/53,532.14 = 11,995.41/x
  3. Step 3: Cross multiply
    35,687.52x = 53,532.14 × 11,995.41
  4. Step 4: Simplify right side
    35,687.52x = 642,139,967.48
  5. Step 5: Solve for x
    x = 642,139,967.48/35,687.52
  6. Step 6: Final answer
    x = 17,993.40

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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.