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Finding the Fourth Proportional to 40,852.88, 56,382.65 and 22,949.25

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Solution

The fourth proportional to 40,852.88, 56,382.65 and 22,949.25 is: 31,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,852.88 : 56,382.65 = 22,949.25 : x
  2. Step 2: Convert to fraction form
    40,852.88/56,382.65 = 22,949.25/x
  3. Step 3: Cross multiply
    40,852.88x = 56,382.65 × 22,949.25
  4. Step 4: Simplify right side
    40,852.88x = 1,293,939,530.51
  5. Step 5: Solve for x
    x = 1,293,939,530.51/40,852.88
  6. Step 6: Final answer
    x = 31,673.15

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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.