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Finding the Fourth Proportional to 30,817, 46,229.15 and 10,040.50

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Solution

The fourth proportional to 30,817, 46,229.15 and 10,040.50 is: 15,061.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,817 : 46,229.15 = 10,040.50 : x
  2. Step 2: Convert to fraction form
    30,817/46,229.15 = 10,040.50/x
  3. Step 3: Cross multiply
    30,817x = 46,229.15 × 10,040.50
  4. Step 4: Simplify right side
    30,817x = 464,163,780.58
  5. Step 5: Solve for x
    x = 464,163,780.58/30,817
  6. Step 6: Final answer
    x = 15,061.94

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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.