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Finding the Fourth Proportional to 35,684.18, 49,244.22 and 19,769.64

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Solution

The fourth proportional to 35,684.18, 49,244.22 and 19,769.64 is: 27,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,684.18 : 49,244.22 = 19,769.64 : x
  2. Step 2: Convert to fraction form
    35,684.18/49,244.22 = 19,769.64/x
  3. Step 3: Cross multiply
    35,684.18x = 49,244.22 × 19,769.64
  4. Step 4: Simplify right side
    35,684.18x = 973,540,501.48
  5. Step 5: Solve for x
    x = 973,540,501.48/35,684.18
  6. Step 6: Final answer
    x = 27,282.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.