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Finding the Fourth Proportional to 30,938.50, 42,690.18 and 17,505.46

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Solution

The fourth proportional to 30,938.50, 42,690.18 and 17,505.46 is: 24,154.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938.50 : 42,690.18 = 17,505.46 : x
  2. Step 2: Convert to fraction form
    30,938.50/42,690.18 = 17,505.46/x
  3. Step 3: Cross multiply
    30,938.50x = 42,690.18 × 17,505.46
  4. Step 4: Simplify right side
    30,938.50x = 747,311,238.38
  5. Step 5: Solve for x
    x = 747,311,238.38/30,938.50
  6. Step 6: Final answer
    x = 24,154.73

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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.