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Finding the Fourth Proportional to 34,721.28, 47,865.60 and 24,768

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Solution

The fourth proportional to 34,721.28, 47,865.60 and 24,768 is: 34,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,721.28 : 47,865.60 = 24,768 : x
  2. Step 2: Convert to fraction form
    34,721.28/47,865.60 = 24,768/x
  3. Step 3: Cross multiply
    34,721.28x = 47,865.60 × 24,768
  4. Step 4: Simplify right side
    34,721.28x = 1,185,535,180.80
  5. Step 5: Solve for x
    x = 1,185,535,180.80/34,721.28
  6. Step 6: Final answer
    x = 34,144.34

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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.