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Finding the Fourth Proportional to 30,631.68, 42,271.62 and 17,883.90

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Solution

The fourth proportional to 30,631.68, 42,271.62 and 17,883.90 is: 24,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,631.68 : 42,271.62 = 17,883.90 : x
  2. Step 2: Convert to fraction form
    30,631.68/42,271.62 = 17,883.90/x
  3. Step 3: Cross multiply
    30,631.68x = 42,271.62 × 17,883.90
  4. Step 4: Simplify right side
    30,631.68x = 755,981,424.92
  5. Step 5: Solve for x
    x = 755,981,424.92/30,631.68
  6. Step 6: Final answer
    x = 24,679.72

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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.