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Finding the Fourth Proportional to 33,647.88, 46,097.82 and 32,386.71

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Solution

The fourth proportional to 33,647.88, 46,097.82 and 32,386.71 is: 44,370.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,647.88 : 46,097.82 = 32,386.71 : x
  2. Step 2: Convert to fraction form
    33,647.88/46,097.82 = 32,386.71/x
  3. Step 3: Cross multiply
    33,647.88x = 46,097.82 × 32,386.71
  4. Step 4: Simplify right side
    33,647.88x = 1,492,956,727.97
  5. Step 5: Solve for x
    x = 1,492,956,727.97/33,647.88
  6. Step 6: Final answer
    x = 44,370.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.