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Finding the Fourth Proportional to 38,862.08, 53,630.88 and 22,096.16

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Solution

The fourth proportional to 38,862.08, 53,630.88 and 22,096.16 is: 30,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,862.08 : 53,630.88 = 22,096.16 : x
  2. Step 2: Convert to fraction form
    38,862.08/53,630.88 = 22,096.16/x
  3. Step 3: Cross multiply
    38,862.08x = 53,630.88 × 22,096.16
  4. Step 4: Simplify right side
    38,862.08x = 1,185,036,505.42
  5. Step 5: Solve for x
    x = 1,185,036,505.42/38,862.08
  6. Step 6: Final answer
    x = 30,493.39

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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.