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Finding the Fourth Proportional to 35,375.11, 53,051.43 and 11,678.26

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Solution

The fourth proportional to 35,375.11, 53,051.43 and 11,678.26 is: 17,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,375.11 : 53,051.43 = 11,678.26 : x
  2. Step 2: Convert to fraction form
    35,375.11/53,051.43 = 11,678.26/x
  3. Step 3: Cross multiply
    35,375.11x = 53,051.43 × 11,678.26
  4. Step 4: Simplify right side
    35,375.11x = 619,548,392.91
  5. Step 5: Solve for x
    x = 619,548,392.91/35,375.11
  6. Step 6: Final answer
    x = 17,513.68

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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.