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Finding the Fourth Proportional to 30,801, 46,203.72 and 12,333

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Solution

The fourth proportional to 30,801, 46,203.72 and 12,333 is: 18,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,801 : 46,203.72 = 12,333 : x
  2. Step 2: Convert to fraction form
    30,801/46,203.72 = 12,333/x
  3. Step 3: Cross multiply
    30,801x = 46,203.72 × 12,333
  4. Step 4: Simplify right side
    30,801x = 569,830,478.76
  5. Step 5: Solve for x
    x = 569,830,478.76/30,801
  6. Step 6: Final answer
    x = 18,500.39

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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.