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Finding the Fourth Proportional to 47,048.80, 70,550.52 and 27,333

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Solution

The fourth proportional to 47,048.80, 70,550.52 and 27,333 is: 40,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,048.80 : 70,550.52 = 27,333 : x
  2. Step 2: Convert to fraction form
    47,048.80/70,550.52 = 27,333/x
  3. Step 3: Cross multiply
    47,048.80x = 70,550.52 × 27,333
  4. Step 4: Simplify right side
    47,048.80x = 1,928,357,363.16
  5. Step 5: Solve for x
    x = 1,928,357,363.16/47,048.80
  6. Step 6: Final answer
    x = 40,986.32

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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.