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Finding the Fourth Proportional to 117,698.94, 176,477.33 and 47,496.24

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Solution

The fourth proportional to 117,698.94, 176,477.33 and 47,496.24 is: 71,215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,698.94 : 176,477.33 = 47,496.24 : x
  2. Step 2: Convert to fraction form
    117,698.94/176,477.33 = 47,496.24/x
  3. Step 3: Cross multiply
    117,698.94x = 176,477.33 × 47,496.24
  4. Step 4: Simplify right side
    117,698.94x = 8,382,009,738.98
  5. Step 5: Solve for x
    x = 8,382,009,738.98/117,698.94
  6. Step 6: Final answer
    x = 71,215.68

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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.