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Finding the Fourth Proportional to 35,783.79, 49,381.74 and 19,868.28

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Solution

The fourth proportional to 35,783.79, 49,381.74 and 19,868.28 is: 27,418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,783.79 : 49,381.74 = 19,868.28 : x
  2. Step 2: Convert to fraction form
    35,783.79/49,381.74 = 19,868.28/x
  3. Step 3: Cross multiply
    35,783.79x = 49,381.74 × 19,868.28
  4. Step 4: Simplify right side
    35,783.79x = 981,130,237.21
  5. Step 5: Solve for x
    x = 981,130,237.21/35,783.79
  6. Step 6: Final answer
    x = 27,418.29

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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.