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Finding the Fourth Proportional to 30,813.84, 42,509.34 and 24,442.92

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Solution

The fourth proportional to 30,813.84, 42,509.34 and 24,442.92 is: 33,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.84 : 42,509.34 = 24,442.92 : x
  2. Step 2: Convert to fraction form
    30,813.84/42,509.34 = 24,442.92/x
  3. Step 3: Cross multiply
    30,813.84x = 42,509.34 × 24,442.92
  4. Step 4: Simplify right side
    30,813.84x = 1,039,052,396.87
  5. Step 5: Solve for x
    x = 1,039,052,396.87/30,813.84
  6. Step 6: Final answer
    x = 33,720.32

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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.