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Finding the Fourth Proportional to 53,006.56, 73,118.59 and 33,100

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Solution

The fourth proportional to 53,006.56, 73,118.59 and 33,100 is: 45,658.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,006.56 : 73,118.59 = 33,100 : x
  2. Step 2: Convert to fraction form
    53,006.56/73,118.59 = 33,100/x
  3. Step 3: Cross multiply
    53,006.56x = 73,118.59 × 33,100
  4. Step 4: Simplify right side
    53,006.56x = 2,420,225,329
  5. Step 5: Solve for x
    x = 2,420,225,329/53,006.56
  6. Step 6: Final answer
    x = 45,658.98

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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.