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Finding the Fourth Proportional to 119,048.88, 178,571.37 and 47,969.81

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Solution

The fourth proportional to 119,048.88, 178,571.37 and 47,969.81 is: 71,953.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,048.88 : 178,571.37 = 47,969.81 : x
  2. Step 2: Convert to fraction form
    119,048.88/178,571.37 = 47,969.81/x
  3. Step 3: Cross multiply
    119,048.88x = 178,571.37 × 47,969.81
  4. Step 4: Simplify right side
    119,048.88x = 8,566,033,797.48
  5. Step 5: Solve for x
    x = 8,566,033,797.48/119,048.88
  6. Step 6: Final answer
    x = 71,953.92

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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.