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Finding the Fourth Proportional to 39,283.36, 54,210.72 and 22,516

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Solution

The fourth proportional to 39,283.36, 54,210.72 and 22,516 is: 31,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,283.36 : 54,210.72 = 22,516 : x
  2. Step 2: Convert to fraction form
    39,283.36/54,210.72 = 22,516/x
  3. Step 3: Cross multiply
    39,283.36x = 54,210.72 × 22,516
  4. Step 4: Simplify right side
    39,283.36x = 1,220,608,571.52
  5. Step 5: Solve for x
    x = 1,220,608,571.52/39,283.36
  6. Step 6: Final answer
    x = 31,071.90

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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.