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Finding the Fourth Proportional to 38,028.64, 52,477.14 and 21,032.44

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Solution

The fourth proportional to 38,028.64, 52,477.14 and 21,032.44 is: 29,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,028.64 : 52,477.14 = 21,032.44 : x
  2. Step 2: Convert to fraction form
    38,028.64/52,477.14 = 21,032.44/x
  3. Step 3: Cross multiply
    38,028.64x = 52,477.14 × 21,032.44
  4. Step 4: Simplify right side
    38,028.64x = 1,103,722,298.42
  5. Step 5: Solve for x
    x = 1,103,722,298.42/38,028.64
  6. Step 6: Final answer
    x = 29,023.45

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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.