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Finding the Fourth Proportional to 33,210.48, 45,830.67 and 19,782.30

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Solution

The fourth proportional to 33,210.48, 45,830.67 and 19,782.30 is: 27,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,210.48 : 45,830.67 = 19,782.30 : x
  2. Step 2: Convert to fraction form
    33,210.48/45,830.67 = 19,782.30/x
  3. Step 3: Cross multiply
    33,210.48x = 45,830.67 × 19,782.30
  4. Step 4: Simplify right side
    33,210.48x = 906,635,928.37
  5. Step 5: Solve for x
    x = 906,635,928.37/33,210.48
  6. Step 6: Final answer
    x = 27,299.70

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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.