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Finding the Fourth Proportional to 100,653.48, 150,986.70 and 59,013

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Solution

The fourth proportional to 100,653.48, 150,986.70 and 59,013 is: 88,523.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,653.48 : 150,986.70 = 59,013 : x
  2. Step 2: Convert to fraction form
    100,653.48/150,986.70 = 59,013/x
  3. Step 3: Cross multiply
    100,653.48x = 150,986.70 × 59,013
  4. Step 4: Simplify right side
    100,653.48x = 8,910,178,127.10
  5. Step 5: Solve for x
    x = 8,910,178,127.10/100,653.48
  6. Step 6: Final answer
    x = 88,523.30

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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.