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Finding the Fourth Proportional to 33,325.44, 49,978.92 and 9,946.32

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Solution

The fourth proportional to 33,325.44, 49,978.92 and 9,946.32 is: 14,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,325.44 : 49,978.92 = 9,946.32 : x
  2. Step 2: Convert to fraction form
    33,325.44/49,978.92 = 9,946.32/x
  3. Step 3: Cross multiply
    33,325.44x = 49,978.92 × 9,946.32
  4. Step 4: Simplify right side
    33,325.44x = 497,106,331.57
  5. Step 5: Solve for x
    x = 497,106,331.57/33,325.44
  6. Step 6: Final answer
    x = 14,916.72

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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.