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Finding the Fourth Proportional to 30,766, 46,152.87 and 12,043.63

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Solution

The fourth proportional to 30,766, 46,152.87 and 12,043.63 is: 18,066.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,766 : 46,152.87 = 12,043.63 : x
  2. Step 2: Convert to fraction form
    30,766/46,152.87 = 12,043.63/x
  3. Step 3: Cross multiply
    30,766x = 46,152.87 × 12,043.63
  4. Step 4: Simplify right side
    30,766x = 555,848,089.72
  5. Step 5: Solve for x
    x = 555,848,089.72/30,766
  6. Step 6: Final answer
    x = 18,066.96

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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.