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Finding the Fourth Proportional to 30,571.93, 42,161.64 and 19,805.87

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Solution

The fourth proportional to 30,571.93, 42,161.64 and 19,805.87 is: 27,314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.93 : 42,161.64 = 19,805.87 : x
  2. Step 2: Convert to fraction form
    30,571.93/42,161.64 = 19,805.87/x
  3. Step 3: Cross multiply
    30,571.93x = 42,161.64 × 19,805.87
  4. Step 4: Simplify right side
    30,571.93x = 835,047,810.50
  5. Step 5: Solve for x
    x = 835,047,810.50/30,571.93
  6. Step 6: Final answer
    x = 27,314.20

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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.