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Finding the Fourth Proportional to 36,496.98, 54,748.98 and 10,201.68

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Solution

The fourth proportional to 36,496.98, 54,748.98 and 10,201.68 is: 15,303.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,496.98 : 54,748.98 = 10,201.68 : x
  2. Step 2: Convert to fraction form
    36,496.98/54,748.98 = 10,201.68/x
  3. Step 3: Cross multiply
    36,496.98x = 54,748.98 × 10,201.68
  4. Step 4: Simplify right side
    36,496.98x = 558,531,574.29
  5. Step 5: Solve for x
    x = 558,531,574.29/36,496.98
  6. Step 6: Final answer
    x = 15,303.50

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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.