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Finding the Fourth Proportional to 35,842.14, 53,783.96 and 14,778.26

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Solution

The fourth proportional to 35,842.14, 53,783.96 and 14,778.26 is: 22,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,842.14 : 53,783.96 = 14,778.26 : x
  2. Step 2: Convert to fraction form
    35,842.14/53,783.96 = 14,778.26/x
  3. Step 3: Cross multiply
    35,842.14x = 53,783.96 × 14,778.26
  4. Step 4: Simplify right side
    35,842.14x = 794,833,001.90
  5. Step 5: Solve for x
    x = 794,833,001.90/35,842.14
  6. Step 6: Final answer
    x = 22,175.94

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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.