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Finding the Fourth Proportional to 30,676.50, 46,014.66 and 9,618.18

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Solution

The fourth proportional to 30,676.50, 46,014.66 and 9,618.18 is: 14,427.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,676.50 : 46,014.66 = 9,618.18 : x
  2. Step 2: Convert to fraction form
    30,676.50/46,014.66 = 9,618.18/x
  3. Step 3: Cross multiply
    30,676.50x = 46,014.66 × 9,618.18
  4. Step 4: Simplify right side
    30,676.50x = 442,577,282.52
  5. Step 5: Solve for x
    x = 442,577,282.52/30,676.50
  6. Step 6: Final answer
    x = 14,427.24

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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.