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Finding the Fourth Proportional to 35,286, 52,942.80 and 15,550.68

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Solution

The fourth proportional to 35,286, 52,942.80 and 15,550.68 is: 23,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,286 : 52,942.80 = 15,550.68 : x
  2. Step 2: Convert to fraction form
    35,286/52,942.80 = 15,550.68/x
  3. Step 3: Cross multiply
    35,286x = 52,942.80 × 15,550.68
  4. Step 4: Simplify right side
    35,286x = 823,296,541.10
  5. Step 5: Solve for x
    x = 823,296,541.10/35,286
  6. Step 6: Final answer
    x = 23,332.10

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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.