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Finding the Fourth Proportional to 34,018, 50,980.02 and 19,033

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Solution

The fourth proportional to 34,018, 50,980.02 and 19,033 is: 28,523.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,018 : 50,980.02 = 19,033 : x
  2. Step 2: Convert to fraction form
    34,018/50,980.02 = 19,033/x
  3. Step 3: Cross multiply
    34,018x = 50,980.02 × 19,033
  4. Step 4: Simplify right side
    34,018x = 970,302,720.66
  5. Step 5: Solve for x
    x = 970,302,720.66/34,018
  6. Step 6: Final answer
    x = 28,523.21

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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.