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Finding the Fourth Proportional to 31,938.80, 44,656 and 31,938.80

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Solution

The fourth proportional to 31,938.80, 44,656 and 31,938.80 is: 44,656

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,938.80 : 44,656 = 31,938.80 : x
  2. Step 2: Convert to fraction form
    31,938.80/44,656 = 31,938.80/x
  3. Step 3: Cross multiply
    31,938.80x = 44,656 × 31,938.80
  4. Step 4: Simplify right side
    31,938.80x = 1,426,259,052.80
  5. Step 5: Solve for x
    x = 1,426,259,052.80/31,938.80
  6. Step 6: Final answer
    x = 44,656

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.