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Finding the Fourth Proportional to 35,776.48, 53,682 and 14,732.14

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Solution

The fourth proportional to 35,776.48, 53,682 and 14,732.14 is: 22,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,776.48 : 53,682 = 14,732.14 : x
  2. Step 2: Convert to fraction form
    35,776.48/53,682 = 14,732.14/x
  3. Step 3: Cross multiply
    35,776.48x = 53,682 × 14,732.14
  4. Step 4: Simplify right side
    35,776.48x = 790,850,739.48
  5. Step 5: Solve for x
    x = 790,850,739.48/35,776.48
  6. Step 6: Final answer
    x = 22,105.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.