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Finding the Fourth Proportional to 31,189.71, 46,756.59 and 11,454.46

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Solution

The fourth proportional to 31,189.71, 46,756.59 and 11,454.46 is: 17,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,189.71 : 46,756.59 = 11,454.46 : x
  2. Step 2: Convert to fraction form
    31,189.71/46,756.59 = 11,454.46/x
  3. Step 3: Cross multiply
    31,189.71x = 46,756.59 × 11,454.46
  4. Step 4: Simplify right side
    31,189.71x = 535,571,657.48
  5. Step 5: Solve for x
    x = 535,571,657.48/31,189.71
  6. Step 6: Final answer
    x = 17,171.42

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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.