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Finding the Fourth Proportional to 34,929.37, 52,394.54 and 9,969.41

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Solution

The fourth proportional to 34,929.37, 52,394.54 and 9,969.41 is: 14,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,929.37 : 52,394.54 = 9,969.41 : x
  2. Step 2: Convert to fraction form
    34,929.37/52,394.54 = 9,969.41/x
  3. Step 3: Cross multiply
    34,929.37x = 52,394.54 × 9,969.41
  4. Step 4: Simplify right side
    34,929.37x = 522,342,651.02
  5. Step 5: Solve for x
    x = 522,342,651.02/34,929.37
  6. Step 6: Final answer
    x = 14,954.25

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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.