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Finding the Fourth Proportional to 30,850.40, 46,266.32 and 9,789.58

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Solution

The fourth proportional to 30,850.40, 46,266.32 and 9,789.58 is: 14,681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850.40 : 46,266.32 = 9,789.58 : x
  2. Step 2: Convert to fraction form
    30,850.40/46,266.32 = 9,789.58/x
  3. Step 3: Cross multiply
    30,850.40x = 46,266.32 × 9,789.58
  4. Step 4: Simplify right side
    30,850.40x = 452,927,840.95
  5. Step 5: Solve for x
    x = 452,927,840.95/30,850.40
  6. Step 6: Final answer
    x = 14,681.43

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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.