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Finding the Fourth Proportional to 31,235.36, 46,820.40 and 13,690.40

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Solution

The fourth proportional to 31,235.36, 46,820.40 and 13,690.40 is: 20,521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,235.36 : 46,820.40 = 13,690.40 : x
  2. Step 2: Convert to fraction form
    31,235.36/46,820.40 = 13,690.40/x
  3. Step 3: Cross multiply
    31,235.36x = 46,820.40 × 13,690.40
  4. Step 4: Simplify right side
    31,235.36x = 640,990,004.16
  5. Step 5: Solve for x
    x = 640,990,004.16/31,235.36
  6. Step 6: Final answer
    x = 20,521.29

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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.