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Finding the Fourth Proportional to 31,146.80, 46,647.30 and 21,232.40

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Solution

The fourth proportional to 31,146.80, 46,647.30 and 21,232.40 is: 31,798.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,146.80 : 46,647.30 = 21,232.40 : x
  2. Step 2: Convert to fraction form
    31,146.80/46,647.30 = 21,232.40/x
  3. Step 3: Cross multiply
    31,146.80x = 46,647.30 × 21,232.40
  4. Step 4: Simplify right side
    31,146.80x = 990,434,132.52
  5. Step 5: Solve for x
    x = 990,434,132.52/31,146.80
  6. Step 6: Final answer
    x = 31,798.90

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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.