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Finding the Fourth Proportional to 31,648.50, 47,483.14 and 12,944.26

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Solution

The fourth proportional to 31,648.50, 47,483.14 and 12,944.26 is: 19,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,648.50 : 47,483.14 = 12,944.26 : x
  2. Step 2: Convert to fraction form
    31,648.50/47,483.14 = 12,944.26/x
  3. Step 3: Cross multiply
    31,648.50x = 47,483.14 × 12,944.26
  4. Step 4: Simplify right side
    31,648.50x = 614,634,109.78
  5. Step 5: Solve for x
    x = 614,634,109.78/31,648.50
  6. Step 6: Final answer
    x = 19,420.64

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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.