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Finding the Fourth Proportional to 29,968.97, 44,953.54 and 7,782.53

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Solution

The fourth proportional to 29,968.97, 44,953.54 and 7,782.53 is: 11,673.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,968.97 : 44,953.54 = 7,782.53 : x
  2. Step 2: Convert to fraction form
    29,968.97/44,953.54 = 7,782.53/x
  3. Step 3: Cross multiply
    29,968.97x = 44,953.54 × 7,782.53
  4. Step 4: Simplify right side
    29,968.97x = 349,852,029.43
  5. Step 5: Solve for x
    x = 349,852,029.43/29,968.97
  6. Step 6: Final answer
    x = 11,673.81

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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.