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Finding the Fourth Proportional to 30,921.42, 42,655.23 and 21,972.54

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Solution

The fourth proportional to 30,921.42, 42,655.23 and 21,972.54 is: 30,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,921.42 : 42,655.23 = 21,972.54 : x
  2. Step 2: Convert to fraction form
    30,921.42/42,655.23 = 21,972.54/x
  3. Step 3: Cross multiply
    30,921.42x = 42,655.23 × 21,972.54
  4. Step 4: Simplify right side
    30,921.42x = 937,243,747.38
  5. Step 5: Solve for x
    x = 937,243,747.38/30,921.42
  6. Step 6: Final answer
    x = 30,310.50

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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.