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Finding the Fourth Proportional to 31,357.97, 47,045.15 and 18,197.70

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Solution

The fourth proportional to 31,357.97, 47,045.15 and 18,197.70 is: 27,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,357.97 : 47,045.15 = 18,197.70 : x
  2. Step 2: Convert to fraction form
    31,357.97/47,045.15 = 18,197.70/x
  3. Step 3: Cross multiply
    31,357.97x = 47,045.15 × 18,197.70
  4. Step 4: Simplify right side
    31,357.97x = 856,113,526.16
  5. Step 5: Solve for x
    x = 856,113,526.16/31,357.97
  6. Step 6: Final answer
    x = 27,301.31

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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.