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Finding the Fourth Proportional to 30,564.36, 42,197.22 and 19,971.72

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Solution

The fourth proportional to 30,564.36, 42,197.22 and 19,971.72 is: 27,573.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.36 : 42,197.22 = 19,971.72 : x
  2. Step 2: Convert to fraction form
    30,564.36/42,197.22 = 19,971.72/x
  3. Step 3: Cross multiply
    30,564.36x = 42,197.22 × 19,971.72
  4. Step 4: Simplify right side
    30,564.36x = 842,751,062.62
  5. Step 5: Solve for x
    x = 842,751,062.62/30,564.36
  6. Step 6: Final answer
    x = 27,573.00

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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.