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Finding the Fourth Proportional to 31,418, 47,148.60 and 12,950

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Solution

The fourth proportional to 31,418, 47,148.60 and 12,950 is: 19,433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418 : 47,148.60 = 12,950 : x
  2. Step 2: Convert to fraction form
    31,418/47,148.60 = 12,950/x
  3. Step 3: Cross multiply
    31,418x = 47,148.60 × 12,950
  4. Step 4: Simplify right side
    31,418x = 610,574,370
  5. Step 5: Solve for x
    x = 610,574,370/31,418
  6. Step 6: Final answer
    x = 19,433.90

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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.