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Finding the Fourth Proportional to 30,890.18, 46,321.50 and 9,826.26

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Solution

The fourth proportional to 30,890.18, 46,321.50 and 9,826.26 is: 14,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,890.18 : 46,321.50 = 9,826.26 : x
  2. Step 2: Convert to fraction form
    30,890.18/46,321.50 = 9,826.26/x
  3. Step 3: Cross multiply
    30,890.18x = 46,321.50 × 9,826.26
  4. Step 4: Simplify right side
    30,890.18x = 455,167,102.59
  5. Step 5: Solve for x
    x = 455,167,102.59/30,890.18
  6. Step 6: Final answer
    x = 14,735.01

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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.