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Finding the Fourth Proportional to 36,503.36, 54,776.64 and 15,442.24

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Solution

The fourth proportional to 36,503.36, 54,776.64 and 15,442.24 is: 23,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,503.36 : 54,776.64 = 15,442.24 : x
  2. Step 2: Convert to fraction form
    36,503.36/54,776.64 = 15,442.24/x
  3. Step 3: Cross multiply
    36,503.36x = 54,776.64 × 15,442.24
  4. Step 4: Simplify right side
    36,503.36x = 845,874,021.27
  5. Step 5: Solve for x
    x = 845,874,021.27/36,503.36
  6. Step 6: Final answer
    x = 23,172.50

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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.