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Finding the Fourth Proportional to 30,546.31, 45,826.64 and 9,485.26

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Solution

The fourth proportional to 30,546.31, 45,826.64 and 9,485.26 is: 14,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,546.31 : 45,826.64 = 9,485.26 : x
  2. Step 2: Convert to fraction form
    30,546.31/45,826.64 = 9,485.26/x
  3. Step 3: Cross multiply
    30,546.31x = 45,826.64 × 9,485.26
  4. Step 4: Simplify right side
    30,546.31x = 434,677,605.18
  5. Step 5: Solve for x
    x = 434,677,605.18/30,546.31
  6. Step 6: Final answer
    x = 14,230.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.