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Finding the Fourth Proportional to 35,313, 52,969.38 and 22,174.59

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Solution

The fourth proportional to 35,313, 52,969.38 and 22,174.59 is: 33,261.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,313 : 52,969.38 = 22,174.59 : x
  2. Step 2: Convert to fraction form
    35,313/52,969.38 = 22,174.59/x
  3. Step 3: Cross multiply
    35,313x = 52,969.38 × 22,174.59
  4. Step 4: Simplify right side
    35,313x = 1,174,574,284.05
  5. Step 5: Solve for x
    x = 1,174,574,284.05/35,313
  6. Step 6: Final answer
    x = 33,261.81

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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.