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Finding the Fourth Proportional to 38,797.05, 53,530.48 and 23,684.21

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Solution

The fourth proportional to 38,797.05, 53,530.48 and 23,684.21 is: 32,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,797.05 : 53,530.48 = 23,684.21 : x
  2. Step 2: Convert to fraction form
    38,797.05/53,530.48 = 23,684.21/x
  3. Step 3: Cross multiply
    38,797.05x = 53,530.48 × 23,684.21
  4. Step 4: Simplify right side
    38,797.05x = 1,267,827,129.72
  5. Step 5: Solve for x
    x = 1,267,827,129.72/38,797.05
  6. Step 6: Final answer
    x = 32,678.44

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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.