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Finding the Fourth Proportional to 30,135.50, 45,206.29 and 7,950.41

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Solution

The fourth proportional to 30,135.50, 45,206.29 and 7,950.41 is: 11,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,135.50 : 45,206.29 = 7,950.41 : x
  2. Step 2: Convert to fraction form
    30,135.50/45,206.29 = 7,950.41/x
  3. Step 3: Cross multiply
    30,135.50x = 45,206.29 × 7,950.41
  4. Step 4: Simplify right side
    30,135.50x = 359,408,448.79
  5. Step 5: Solve for x
    x = 359,408,448.79/30,135.50
  6. Step 6: Final answer
    x = 11,926.41

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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.