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Finding the Fourth Proportional to 64,651.97, 97,068.71 and 33,084.69

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Solution

The fourth proportional to 64,651.97, 97,068.71 and 33,084.69 is: 49,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,651.97 : 97,068.71 = 33,084.69 : x
  2. Step 2: Convert to fraction form
    64,651.97/97,068.71 = 33,084.69/x
  3. Step 3: Cross multiply
    64,651.97x = 97,068.71 × 33,084.69
  4. Step 4: Simplify right side
    64,651.97x = 3,211,488,013.63
  5. Step 5: Solve for x
    x = 3,211,488,013.63/64,651.97
  6. Step 6: Final answer
    x = 49,673.48

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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.