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Finding the Fourth Proportional to 35,765.54, 53,654.50 and 14,717.16

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Solution

The fourth proportional to 35,765.54, 53,654.50 and 14,717.16 is: 22,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,765.54 : 53,654.50 = 14,717.16 : x
  2. Step 2: Convert to fraction form
    35,765.54/53,654.50 = 14,717.16/x
  3. Step 3: Cross multiply
    35,765.54x = 53,654.50 × 14,717.16
  4. Step 4: Simplify right side
    35,765.54x = 789,641,861.22
  5. Step 5: Solve for x
    x = 789,641,861.22/35,765.54
  6. Step 6: Final answer
    x = 22,078.29

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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.