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Finding the Fourth Proportional to 35,677, 53,511.23 and 9,383.79

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Solution

The fourth proportional to 35,677, 53,511.23 and 9,383.79 is: 14,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,677 : 53,511.23 = 9,383.79 : x
  2. Step 2: Convert to fraction form
    35,677/53,511.23 = 9,383.79/x
  3. Step 3: Cross multiply
    35,677x = 53,511.23 × 9,383.79
  4. Step 4: Simplify right side
    35,677x = 502,138,144.96
  5. Step 5: Solve for x
    x = 502,138,144.96/35,677
  6. Step 6: Final answer
    x = 14,074.56

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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.