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Finding the Fourth Proportional to 39,102.53, 53,961.77 and 21,197.81

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Solution

The fourth proportional to 39,102.53, 53,961.77 and 21,197.81 is: 29,253.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,102.53 : 53,961.77 = 21,197.81 : x
  2. Step 2: Convert to fraction form
    39,102.53/53,961.77 = 21,197.81/x
  3. Step 3: Cross multiply
    39,102.53x = 53,961.77 × 21,197.81
  4. Step 4: Simplify right side
    39,102.53x = 1,143,871,376.64
  5. Step 5: Solve for x
    x = 1,143,871,376.64/39,102.53
  6. Step 6: Final answer
    x = 29,253.13

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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.