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Finding the Fourth Proportional to 19,838.28, 29,757.28 and 5,047

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Solution

The fourth proportional to 19,838.28, 29,757.28 and 5,047 is: 7,570.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.28 : 29,757.28 = 5,047 : x
  2. Step 2: Convert to fraction form
    19,838.28/29,757.28 = 5,047/x
  3. Step 3: Cross multiply
    19,838.28x = 29,757.28 × 5,047
  4. Step 4: Simplify right side
    19,838.28x = 150,184,992.16
  5. Step 5: Solve for x
    x = 150,184,992.16/19,838.28
  6. Step 6: Final answer
    x = 7,570.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.