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Finding the Fourth Proportional to 30,974, 46,466.76 and 14,558

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Solution

The fourth proportional to 30,974, 46,466.76 and 14,558 is: 21,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974 : 46,466.76 = 14,558 : x
  2. Step 2: Convert to fraction form
    30,974/46,466.76 = 14,558/x
  3. Step 3: Cross multiply
    30,974x = 46,466.76 × 14,558
  4. Step 4: Simplify right side
    30,974x = 676,463,092.08
  5. Step 5: Solve for x
    x = 676,463,092.08/30,974
  6. Step 6: Final answer
    x = 21,839.71

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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.