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Finding the Fourth Proportional to 33,712.60, 46,532.64 and 19,570

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Solution

The fourth proportional to 33,712.60, 46,532.64 and 19,570 is: 27,011.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,712.60 : 46,532.64 = 19,570 : x
  2. Step 2: Convert to fraction form
    33,712.60/46,532.64 = 19,570/x
  3. Step 3: Cross multiply
    33,712.60x = 46,532.64 × 19,570
  4. Step 4: Simplify right side
    33,712.60x = 910,643,764.80
  5. Step 5: Solve for x
    x = 910,643,764.80/33,712.60
  6. Step 6: Final answer
    x = 27,011.97

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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.