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Finding the Fourth Proportional to 30,678.67, 45,959.37 and 25,712.83

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Solution

The fourth proportional to 30,678.67, 45,959.37 and 25,712.83 is: 38,520.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.67 : 45,959.37 = 25,712.83 : x
  2. Step 2: Convert to fraction form
    30,678.67/45,959.37 = 25,712.83/x
  3. Step 3: Cross multiply
    30,678.67x = 45,959.37 × 25,712.83
  4. Step 4: Simplify right side
    30,678.67x = 1,181,745,467.72
  5. Step 5: Solve for x
    x = 1,181,745,467.72/30,678.67
  6. Step 6: Final answer
    x = 38,520.10

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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.