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Finding the Fourth Proportional to 39,830.94, 54,968.00 and 22,838.40

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Solution

The fourth proportional to 39,830.94, 54,968.00 and 22,838.40 is: 31,517.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,830.94 : 54,968.00 = 22,838.40 : x
  2. Step 2: Convert to fraction form
    39,830.94/54,968.00 = 22,838.40/x
  3. Step 3: Cross multiply
    39,830.94x = 54,968.00 × 22,838.40
  4. Step 4: Simplify right side
    39,830.94x = 1,255,381,057.01
  5. Step 5: Solve for x
    x = 1,255,381,057.01/39,830.94
  6. Step 6: Final answer
    x = 31,517.74

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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.