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Finding the Fourth Proportional to 53,859.75, 74,315.16 and 31,197.39

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Solution

The fourth proportional to 53,859.75, 74,315.16 and 31,197.39 is: 43,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,859.75 : 74,315.16 = 31,197.39 : x
  2. Step 2: Convert to fraction form
    53,859.75/74,315.16 = 31,197.39/x
  3. Step 3: Cross multiply
    53,859.75x = 74,315.16 × 31,197.39
  4. Step 4: Simplify right side
    53,859.75x = 2,318,439,029.43
  5. Step 5: Solve for x
    x = 2,318,439,029.43/53,859.75
  6. Step 6: Final answer
    x = 43,045.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.