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Finding the Fourth Proportional to 32,973.78, 49,440.73 and 12,959.32

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Solution

The fourth proportional to 32,973.78, 49,440.73 and 12,959.32 is: 19,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,973.78 : 49,440.73 = 12,959.32 : x
  2. Step 2: Convert to fraction form
    32,973.78/49,440.73 = 12,959.32/x
  3. Step 3: Cross multiply
    32,973.78x = 49,440.73 × 12,959.32
  4. Step 4: Simplify right side
    32,973.78x = 640,718,241.10
  5. Step 5: Solve for x
    x = 640,718,241.10/32,973.78
  6. Step 6: Final answer
    x = 19,431.14

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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.