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Finding the Fourth Proportional to 33,970.64, 46,886.13 and 21,698.19

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Solution

The fourth proportional to 33,970.64, 46,886.13 and 21,698.19 is: 29,947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,970.64 : 46,886.13 = 21,698.19 : x
  2. Step 2: Convert to fraction form
    33,970.64/46,886.13 = 21,698.19/x
  3. Step 3: Cross multiply
    33,970.64x = 46,886.13 × 21,698.19
  4. Step 4: Simplify right side
    33,970.64x = 1,017,344,157.10
  5. Step 5: Solve for x
    x = 1,017,344,157.10/33,970.64
  6. Step 6: Final answer
    x = 29,947.75

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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.