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Finding the Fourth Proportional to 29,955.86, 44,934.93 and 7,768.65

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Solution

The fourth proportional to 29,955.86, 44,934.93 and 7,768.65 is: 11,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,955.86 : 44,934.93 = 7,768.65 : x
  2. Step 2: Convert to fraction form
    29,955.86/44,934.93 = 7,768.65/x
  3. Step 3: Cross multiply
    29,955.86x = 44,934.93 × 7,768.65
  4. Step 4: Simplify right side
    29,955.86x = 349,083,743.94
  5. Step 5: Solve for x
    x = 349,083,743.94/29,955.86
  6. Step 6: Final answer
    x = 11,653.27

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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.