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Finding the Fourth Proportional to 31,064.64, 46,297.21 and 31,015.23

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Solution

The fourth proportional to 31,064.64, 46,297.21 and 31,015.23 is: 46,223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064.64 : 46,297.21 = 31,015.23 : x
  2. Step 2: Convert to fraction form
    31,064.64/46,297.21 = 31,015.23/x
  3. Step 3: Cross multiply
    31,064.64x = 46,297.21 × 31,015.23
  4. Step 4: Simplify right side
    31,064.64x = 1,435,918,616.51
  5. Step 5: Solve for x
    x = 1,435,918,616.51/31,064.64
  6. Step 6: Final answer
    x = 46,223.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.