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Finding the Fourth Proportional to 38,474.83, 53,096.16 and 24,135.27

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Solution

The fourth proportional to 38,474.83, 53,096.16 and 24,135.27 is: 33,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,474.83 : 53,096.16 = 24,135.27 : x
  2. Step 2: Convert to fraction form
    38,474.83/53,096.16 = 24,135.27/x
  3. Step 3: Cross multiply
    38,474.83x = 53,096.16 × 24,135.27
  4. Step 4: Simplify right side
    38,474.83x = 1,281,490,157.56
  5. Step 5: Solve for x
    x = 1,281,490,157.56/38,474.83
  6. Step 6: Final answer
    x = 33,307.23

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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.