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Finding the Fourth Proportional to 30,983.55, 46,475.48 and 7,609.99

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Solution

The fourth proportional to 30,983.55, 46,475.48 and 7,609.99 is: 11,415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983.55 : 46,475.48 = 7,609.99 : x
  2. Step 2: Convert to fraction form
    30,983.55/46,475.48 = 7,609.99/x
  3. Step 3: Cross multiply
    30,983.55x = 46,475.48 × 7,609.99
  4. Step 4: Simplify right side
    30,983.55x = 353,677,938.05
  5. Step 5: Solve for x
    x = 353,677,938.05/30,983.55
  6. Step 6: Final answer
    x = 11,415.02

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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.