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Finding the Fourth Proportional to 52,048.28, 78,072.06 and 12,605.60

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Solution

The fourth proportional to 52,048.28, 78,072.06 and 12,605.60 is: 18,908.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,048.28 : 78,072.06 = 12,605.60 : x
  2. Step 2: Convert to fraction form
    52,048.28/78,072.06 = 12,605.60/x
  3. Step 3: Cross multiply
    52,048.28x = 78,072.06 × 12,605.60
  4. Step 4: Simplify right side
    52,048.28x = 984,145,159.54
  5. Step 5: Solve for x
    x = 984,145,159.54/52,048.28
  6. Step 6: Final answer
    x = 18,908.31

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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.