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Finding the Fourth Proportional to 31,483.90, 43,447.71 and 17,143.50

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Solution

The fourth proportional to 31,483.90, 43,447.71 and 17,143.50 is: 23,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,483.90 : 43,447.71 = 17,143.50 : x
  2. Step 2: Convert to fraction form
    31,483.90/43,447.71 = 17,143.50/x
  3. Step 3: Cross multiply
    31,483.90x = 43,447.71 × 17,143.50
  4. Step 4: Simplify right side
    31,483.90x = 744,845,816.39
  5. Step 5: Solve for x
    x = 744,845,816.39/31,483.90
  6. Step 6: Final answer
    x = 23,657.99

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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.