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Finding the Fourth Proportional to 65,097.68, 89,843.06 and 36,418.93

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Solution

The fourth proportional to 65,097.68, 89,843.06 and 36,418.93 is: 50,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097.68 : 89,843.06 = 36,418.93 : x
  2. Step 2: Convert to fraction form
    65,097.68/89,843.06 = 36,418.93/x
  3. Step 3: Cross multiply
    65,097.68x = 89,843.06 × 36,418.93
  4. Step 4: Simplify right side
    65,097.68x = 3,271,988,054.69
  5. Step 5: Solve for x
    x = 3,271,988,054.69/65,097.68
  6. Step 6: Final answer
    x = 50,262.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.