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Finding the Fourth Proportional to 29,894.16, 44,843.83 and 7,707.35

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Solution

The fourth proportional to 29,894.16, 44,843.83 and 7,707.35 is: 11,561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,894.16 : 44,843.83 = 7,707.35 : x
  2. Step 2: Convert to fraction form
    29,894.16/44,843.83 = 7,707.35/x
  3. Step 3: Cross multiply
    29,894.16x = 44,843.83 × 7,707.35
  4. Step 4: Simplify right side
    29,894.16x = 345,627,054.61
  5. Step 5: Solve for x
    x = 345,627,054.61/29,894.16
  6. Step 6: Final answer
    x = 11,561.69

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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.