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Finding the Fourth Proportional to 33,500.64, 46,228.32 and 19,344

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Solution

The fourth proportional to 33,500.64, 46,228.32 and 19,344 is: 26,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,500.64 : 46,228.32 = 19,344 : x
  2. Step 2: Convert to fraction form
    33,500.64/46,228.32 = 19,344/x
  3. Step 3: Cross multiply
    33,500.64x = 46,228.32 × 19,344
  4. Step 4: Simplify right side
    33,500.64x = 894,240,622.08
  5. Step 5: Solve for x
    x = 894,240,622.08/33,500.64
  6. Step 6: Final answer
    x = 26,693.24

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