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Finding the Fourth Proportional to 30,143.90, 45,211.97 and 7,958.95

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Solution

The fourth proportional to 30,143.90, 45,211.97 and 7,958.95 is: 11,937.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,143.90 : 45,211.97 = 7,958.95 : x
  2. Step 2: Convert to fraction form
    30,143.90/45,211.97 = 7,958.95/x
  3. Step 3: Cross multiply
    30,143.90x = 45,211.97 × 7,958.95
  4. Step 4: Simplify right side
    30,143.90x = 359,839,715.50
  5. Step 5: Solve for x
    x = 359,839,715.50/30,143.90
  6. Step 6: Final answer
    x = 11,937.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.