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Finding the Fourth Proportional to 32,924.34, 49,414.15 and 30,848.36

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Solution

The fourth proportional to 32,924.34, 49,414.15 and 30,848.36 is: 46,298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924.34 : 49,414.15 = 30,848.36 : x
  2. Step 2: Convert to fraction form
    32,924.34/49,414.15 = 30,848.36/x
  3. Step 3: Cross multiply
    32,924.34x = 49,414.15 × 30,848.36
  4. Step 4: Simplify right side
    32,924.34x = 1,524,345,488.29
  5. Step 5: Solve for x
    x = 1,524,345,488.29/32,924.34
  6. Step 6: Final answer
    x = 46,298.44

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