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Finding the Fourth Proportional to 36,963.16, 51,009 and 20,196.16

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Solution

The fourth proportional to 36,963.16, 51,009 and 20,196.16 is: 27,870.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,963.16 : 51,009 = 20,196.16 : x
  2. Step 2: Convert to fraction form
    36,963.16/51,009 = 20,196.16/x
  3. Step 3: Cross multiply
    36,963.16x = 51,009 × 20,196.16
  4. Step 4: Simplify right side
    36,963.16x = 1,030,185,925.44
  5. Step 5: Solve for x
    x = 1,030,185,925.44/36,963.16
  6. Step 6: Final answer
    x = 27,870.61

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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.