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Finding the Fourth Proportional to 30,897.27, 42,615.59 and 20,283.03

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Solution

The fourth proportional to 30,897.27, 42,615.59 and 20,283.03 is: 27,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,897.27 : 42,615.59 = 20,283.03 : x
  2. Step 2: Convert to fraction form
    30,897.27/42,615.59 = 20,283.03/x
  3. Step 3: Cross multiply
    30,897.27x = 42,615.59 × 20,283.03
  4. Step 4: Simplify right side
    30,897.27x = 864,373,189.02
  5. Step 5: Solve for x
    x = 864,373,189.02/30,897.27
  6. Step 6: Final answer
    x = 27,975.71

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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.