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Finding the Fourth Proportional to 30,837.90, 42,551.74 and 18,086.27

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Solution

The fourth proportional to 30,837.90, 42,551.74 and 18,086.27 is: 24,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,837.90 : 42,551.74 = 18,086.27 : x
  2. Step 2: Convert to fraction form
    30,837.90/42,551.74 = 18,086.27/x
  3. Step 3: Cross multiply
    30,837.90x = 42,551.74 × 18,086.27
  4. Step 4: Simplify right side
    30,837.90x = 769,602,258.61
  5. Step 5: Solve for x
    x = 769,602,258.61/30,837.90
  6. Step 6: Final answer
    x = 24,956.38

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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.