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Finding the Fourth Proportional to 46,077.96, 69,114.51 and 22,696.50

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Solution

The fourth proportional to 46,077.96, 69,114.51 and 22,696.50 is: 34,043.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,077.96 : 69,114.51 = 22,696.50 : x
  2. Step 2: Convert to fraction form
    46,077.96/69,114.51 = 22,696.50/x
  3. Step 3: Cross multiply
    46,077.96x = 69,114.51 × 22,696.50
  4. Step 4: Simplify right side
    46,077.96x = 1,568,657,476.22
  5. Step 5: Solve for x
    x = 1,568,657,476.22/46,077.96
  6. Step 6: Final answer
    x = 34,043.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.