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Finding the Fourth Proportional to 33,648, 46,434.24 and 19,509.06

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Solution

The fourth proportional to 33,648, 46,434.24 and 19,509.06 is: 26,922.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,648 : 46,434.24 = 19,509.06 : x
  2. Step 2: Convert to fraction form
    33,648/46,434.24 = 19,509.06/x
  3. Step 3: Cross multiply
    33,648x = 46,434.24 × 19,509.06
  4. Step 4: Simplify right side
    33,648x = 905,888,374.21
  5. Step 5: Solve for x
    x = 905,888,374.21/33,648
  6. Step 6: Final answer
    x = 26,922.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.