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Finding the Fourth Proportional to 23,819, 35,728.52 and 6,051

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Solution

The fourth proportional to 23,819, 35,728.52 and 6,051 is: 9,076.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,819 : 35,728.52 = 6,051 : x
  2. Step 2: Convert to fraction form
    23,819/35,728.52 = 6,051/x
  3. Step 3: Cross multiply
    23,819x = 35,728.52 × 6,051
  4. Step 4: Simplify right side
    23,819x = 216,193,274.52
  5. Step 5: Solve for x
    x = 216,193,274.52/23,819
  6. Step 6: Final answer
    x = 9,076.51

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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.