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Finding the Fourth Proportional to 30,895.88, 42,636.50 and 18,146.12

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Solution

The fourth proportional to 30,895.88, 42,636.50 and 18,146.12 is: 25,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,895.88 : 42,636.50 = 18,146.12 : x
  2. Step 2: Convert to fraction form
    30,895.88/42,636.50 = 18,146.12/x
  3. Step 3: Cross multiply
    30,895.88x = 42,636.50 × 18,146.12
  4. Step 4: Simplify right side
    30,895.88x = 773,687,045.38
  5. Step 5: Solve for x
    x = 773,687,045.38/30,895.88
  6. Step 6: Final answer
    x = 25,041.75

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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.