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Finding the Fourth Proportional to 50,748.12, 70,025.58 and 29,511

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Solution

The fourth proportional to 50,748.12, 70,025.58 and 29,511 is: 40,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,748.12 : 70,025.58 = 29,511 : x
  2. Step 2: Convert to fraction form
    50,748.12/70,025.58 = 29,511/x
  3. Step 3: Cross multiply
    50,748.12x = 70,025.58 × 29,511
  4. Step 4: Simplify right side
    50,748.12x = 2,066,524,891.38
  5. Step 5: Solve for x
    x = 2,066,524,891.38/50,748.12
  6. Step 6: Final answer
    x = 40,721.21

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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.