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Finding the Fourth Proportional to 30,839.40, 46,184.54 and 17,651.80

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Solution

The fourth proportional to 30,839.40, 46,184.54 and 17,651.80 is: 26,435.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839.40 : 46,184.54 = 17,651.80 : x
  2. Step 2: Convert to fraction form
    30,839.40/46,184.54 = 17,651.80/x
  3. Step 3: Cross multiply
    30,839.40x = 46,184.54 × 17,651.80
  4. Step 4: Simplify right side
    30,839.40x = 815,240,263.17
  5. Step 5: Solve for x
    x = 815,240,263.17/30,839.40
  6. Step 6: Final answer
    x = 26,435.02

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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.