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Finding the Fourth Proportional to 35,782.37, 49,381.21 and 19,866.81

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Solution

The fourth proportional to 35,782.37, 49,381.21 and 19,866.81 is: 27,417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.37 : 49,381.21 = 19,866.81 : x
  2. Step 2: Convert to fraction form
    35,782.37/49,381.21 = 19,866.81/x
  3. Step 3: Cross multiply
    35,782.37x = 49,381.21 × 19,866.81
  4. Step 4: Simplify right side
    35,782.37x = 981,047,140.76
  5. Step 5: Solve for x
    x = 981,047,140.76/35,782.37
  6. Step 6: Final answer
    x = 27,417.06

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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.