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Finding the Fourth Proportional to 31,030.49, 42,797.16 and 20,274.50

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Solution

The fourth proportional to 31,030.49, 42,797.16 and 20,274.50 is: 27,962.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,030.49 : 42,797.16 = 20,274.50 : x
  2. Step 2: Convert to fraction form
    31,030.49/42,797.16 = 20,274.50/x
  3. Step 3: Cross multiply
    31,030.49x = 42,797.16 × 20,274.50
  4. Step 4: Simplify right side
    31,030.49x = 867,691,127.41
  5. Step 5: Solve for x
    x = 867,691,127.41/31,030.49
  6. Step 6: Final answer
    x = 27,962.53

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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.