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Finding the Fourth Proportional to 34,017, 50,978.52 and 19,032

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Solution

The fourth proportional to 34,017, 50,978.52 and 19,032 is: 28,521.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,017 : 50,978.52 = 19,032 : x
  2. Step 2: Convert to fraction form
    34,017/50,978.52 = 19,032/x
  3. Step 3: Cross multiply
    34,017x = 50,978.52 × 19,032
  4. Step 4: Simplify right side
    34,017x = 970,223,192.64
  5. Step 5: Solve for x
    x = 970,223,192.64/34,017
  6. Step 6: Final answer
    x = 28,521.72

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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.