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Finding the Fourth Proportional to 30,539.40, 42,137.00 and 20,464.17

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Solution

The fourth proportional to 30,539.40, 42,137.00 and 20,464.17 is: 28,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539.40 : 42,137.00 = 20,464.17 : x
  2. Step 2: Convert to fraction form
    30,539.40/42,137.00 = 20,464.17/x
  3. Step 3: Cross multiply
    30,539.40x = 42,137.00 × 20,464.17
  4. Step 4: Simplify right side
    30,539.40x = 862,298,637.43
  5. Step 5: Solve for x
    x = 862,298,637.43/30,539.40
  6. Step 6: Final answer
    x = 28,235.61

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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.