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Finding the Fourth Proportional to 36,985, 55,477.50 and 12,361

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Solution

The fourth proportional to 36,985, 55,477.50 and 12,361 is: 18,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,985 : 55,477.50 = 12,361 : x
  2. Step 2: Convert to fraction form
    36,985/55,477.50 = 12,361/x
  3. Step 3: Cross multiply
    36,985x = 55,477.50 × 12,361
  4. Step 4: Simplify right side
    36,985x = 685,757,377.50
  5. Step 5: Solve for x
    x = 685,757,377.50/36,985
  6. Step 6: Final answer
    x = 18,541.50

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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.