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Finding the Fourth Proportional to 101,496.37, 152,202.91 and 30,393.95

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Solution

The fourth proportional to 101,496.37, 152,202.91 and 30,393.95 is: 45,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,496.37 : 152,202.91 = 30,393.95 : x
  2. Step 2: Convert to fraction form
    101,496.37/152,202.91 = 30,393.95/x
  3. Step 3: Cross multiply
    101,496.37x = 152,202.91 × 30,393.95
  4. Step 4: Simplify right side
    101,496.37x = 4,626,047,636.39
  5. Step 5: Solve for x
    x = 4,626,047,636.39/101,496.37
  6. Step 6: Final answer
    x = 45,578.45

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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.