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Finding the Fourth Proportional to 92,097, 138,145.50 and 29,767.50

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Solution

The fourth proportional to 92,097, 138,145.50 and 29,767.50 is: 44,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,097 : 138,145.50 = 29,767.50 : x
  2. Step 2: Convert to fraction form
    92,097/138,145.50 = 29,767.50/x
  3. Step 3: Cross multiply
    92,097x = 138,145.50 × 29,767.50
  4. Step 4: Simplify right side
    92,097x = 4,112,246,171.25
  5. Step 5: Solve for x
    x = 4,112,246,171.25/92,097
  6. Step 6: Final answer
    x = 44,651.25

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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.