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Finding the Fourth Proportional to 35,782.74, 49,381.72 and 19,867.19

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Solution

The fourth proportional to 35,782.74, 49,381.72 and 19,867.19 is: 27,417.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.74 : 49,381.72 = 19,867.19 : x
  2. Step 2: Convert to fraction form
    35,782.74/49,381.72 = 19,867.19/x
  3. Step 3: Cross multiply
    35,782.74x = 49,381.72 × 19,867.19
  4. Step 4: Simplify right side
    35,782.74x = 981,075,890.31
  5. Step 5: Solve for x
    x = 981,075,890.31/35,782.74
  6. Step 6: Final answer
    x = 27,417.58

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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.