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Finding the Fourth Proportional to 37,164, 55,746 and 12,540

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Solution

The fourth proportional to 37,164, 55,746 and 12,540 is: 18,810

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,164 : 55,746 = 12,540 : x
  2. Step 2: Convert to fraction form
    37,164/55,746 = 12,540/x
  3. Step 3: Cross multiply
    37,164x = 55,746 × 12,540
  4. Step 4: Simplify right side
    37,164x = 699,054,840
  5. Step 5: Solve for x
    x = 699,054,840/37,164
  6. Step 6: Final answer
    x = 18,810

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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.