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Finding the Fourth Proportional to 35,827.79, 49,444.02 and 19,912.50

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Solution

The fourth proportional to 35,827.79, 49,444.02 and 19,912.50 is: 27,480.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,827.79 : 49,444.02 = 19,912.50 : x
  2. Step 2: Convert to fraction form
    35,827.79/49,444.02 = 19,912.50/x
  3. Step 3: Cross multiply
    35,827.79x = 49,444.02 × 19,912.50
  4. Step 4: Simplify right side
    35,827.79x = 984,554,048.25
  5. Step 5: Solve for x
    x = 984,554,048.25/35,827.79
  6. Step 6: Final answer
    x = 27,480.18

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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.