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Finding the Fourth Proportional to 31,238.50, 46,864.23 and 12,770.50

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Solution

The fourth proportional to 31,238.50, 46,864.23 and 12,770.50 is: 19,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,238.50 : 46,864.23 = 12,770.50 : x
  2. Step 2: Convert to fraction form
    31,238.50/46,864.23 = 12,770.50/x
  3. Step 3: Cross multiply
    31,238.50x = 46,864.23 × 12,770.50
  4. Step 4: Simplify right side
    31,238.50x = 598,479,649.22
  5. Step 5: Solve for x
    x = 598,479,649.22/31,238.50
  6. Step 6: Final answer
    x = 19,158.40

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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.