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Finding the Fourth Proportional to 35,201.65, 52,796.06 and 14,140.84

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Solution

The fourth proportional to 35,201.65, 52,796.06 and 14,140.84 is: 21,208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,201.65 : 52,796.06 = 14,140.84 : x
  2. Step 2: Convert to fraction form
    35,201.65/52,796.06 = 14,140.84/x
  3. Step 3: Cross multiply
    35,201.65x = 52,796.06 × 14,140.84
  4. Step 4: Simplify right side
    35,201.65x = 746,580,637.09
  5. Step 5: Solve for x
    x = 746,580,637.09/35,201.65
  6. Step 6: Final answer
    x = 21,208.68

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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.