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Finding the Fourth Proportional to 31,347.60, 47,021.40 and 18,225.60

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Solution

The fourth proportional to 31,347.60, 47,021.40 and 18,225.60 is: 27,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,347.60 : 47,021.40 = 18,225.60 : x
  2. Step 2: Convert to fraction form
    31,347.60/47,021.40 = 18,225.60/x
  3. Step 3: Cross multiply
    31,347.60x = 47,021.40 × 18,225.60
  4. Step 4: Simplify right side
    31,347.60x = 856,993,227.84
  5. Step 5: Solve for x
    x = 856,993,227.84/31,347.60
  6. Step 6: Final answer
    x = 27,338.40

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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.