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Finding the Fourth Proportional to 49,292, 73,947.76 and 25,215.60

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Solution

The fourth proportional to 49,292, 73,947.76 and 25,215.60 is: 37,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,292 : 73,947.76 = 25,215.60 : x
  2. Step 2: Convert to fraction form
    49,292/73,947.76 = 25,215.60/x
  3. Step 3: Cross multiply
    49,292x = 73,947.76 × 25,215.60
  4. Step 4: Simplify right side
    49,292x = 1,864,637,137.06
  5. Step 5: Solve for x
    x = 1,864,637,137.06/49,292
  6. Step 6: Final answer
    x = 37,828.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.