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Finding the Fourth Proportional to 49,164, 67,852.11 and 27,946.44

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Solution

The fourth proportional to 49,164, 67,852.11 and 27,946.44 is: 38,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,164 : 67,852.11 = 27,946.44 : x
  2. Step 2: Convert to fraction form
    49,164/67,852.11 = 27,946.44/x
  3. Step 3: Cross multiply
    49,164x = 67,852.11 × 27,946.44
  4. Step 4: Simplify right side
    49,164x = 1,896,224,920.99
  5. Step 5: Solve for x
    x = 1,896,224,920.99/49,164
  6. Step 6: Final answer
    x = 38,569.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.