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Finding the Fourth Proportional to 35,356.14, 53,027.70 and 14,290.70

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Solution

The fourth proportional to 35,356.14, 53,027.70 and 14,290.70 is: 21,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,356.14 : 53,027.70 = 14,290.70 : x
  2. Step 2: Convert to fraction form
    35,356.14/53,027.70 = 14,290.70/x
  3. Step 3: Cross multiply
    35,356.14x = 53,027.70 × 14,290.70
  4. Step 4: Simplify right side
    35,356.14x = 757,802,952.39
  5. Step 5: Solve for x
    x = 757,802,952.39/35,356.14
  6. Step 6: Final answer
    x = 21,433.42

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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.