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Finding the Fourth Proportional to 30,524.64, 42,125.04 and 17,950.56

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Solution

The fourth proportional to 30,524.64, 42,125.04 and 17,950.56 is: 24,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524.64 : 42,125.04 = 17,950.56 : x
  2. Step 2: Convert to fraction form
    30,524.64/42,125.04 = 17,950.56/x
  3. Step 3: Cross multiply
    30,524.64x = 42,125.04 × 17,950.56
  4. Step 4: Simplify right side
    30,524.64x = 756,168,058.02
  5. Step 5: Solve for x
    x = 756,168,058.02/30,524.64
  6. Step 6: Final answer
    x = 24,772.38

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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.