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Finding the Fourth Proportional to 38,032.68, 52,489 and 21,900.56

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Solution

The fourth proportional to 38,032.68, 52,489 and 21,900.56 is: 30,225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,032.68 : 52,489 = 21,900.56 : x
  2. Step 2: Convert to fraction form
    38,032.68/52,489 = 21,900.56/x
  3. Step 3: Cross multiply
    38,032.68x = 52,489 × 21,900.56
  4. Step 4: Simplify right side
    38,032.68x = 1,149,538,493.84
  5. Step 5: Solve for x
    x = 1,149,538,493.84/38,032.68
  6. Step 6: Final answer
    x = 30,225.02

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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.