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Finding the Fourth Proportional to 47,571.54, 71,351.83 and 15,980.32

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Solution

The fourth proportional to 47,571.54, 71,351.83 and 15,980.32 is: 23,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,571.54 : 71,351.83 = 15,980.32 : x
  2. Step 2: Convert to fraction form
    47,571.54/71,351.83 = 15,980.32/x
  3. Step 3: Cross multiply
    47,571.54x = 71,351.83 × 15,980.32
  4. Step 4: Simplify right side
    47,571.54x = 1,140,225,075.99
  5. Step 5: Solve for x
    x = 1,140,225,075.99/47,571.54
  6. Step 6: Final answer
    x = 23,968.64

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1.5x scale

Why These Related Problems?

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