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Finding the Fourth Proportional to 38,877.08, 53,640.84 and 21,878

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Solution

The fourth proportional to 38,877.08, 53,640.84 and 21,878 is: 30,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,877.08 : 53,640.84 = 21,878 : x
  2. Step 2: Convert to fraction form
    38,877.08/53,640.84 = 21,878/x
  3. Step 3: Cross multiply
    38,877.08x = 53,640.84 × 21,878
  4. Step 4: Simplify right side
    38,877.08x = 1,173,554,297.52
  5. Step 5: Solve for x
    x = 1,173,554,297.52/38,877.08
  6. Step 6: Final answer
    x = 30,186.28

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