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Finding the Fourth Proportional to 31,000, 46,500.04 and 14,350.96

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Solution

The fourth proportional to 31,000, 46,500.04 and 14,350.96 is: 21,526.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000 : 46,500.04 = 14,350.96 : x
  2. Step 2: Convert to fraction form
    31,000/46,500.04 = 14,350.96/x
  3. Step 3: Cross multiply
    31,000x = 46,500.04 × 14,350.96
  4. Step 4: Simplify right side
    31,000x = 667,320,214.04
  5. Step 5: Solve for x
    x = 667,320,214.04/31,000
  6. Step 6: Final answer
    x = 21,526.46

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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.