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Finding the Fourth Proportional to 68,177.84, 102,267.50 and 23,804.69

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Solution

The fourth proportional to 68,177.84, 102,267.50 and 23,804.69 is: 35,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,177.84 : 102,267.50 = 23,804.69 : x
  2. Step 2: Convert to fraction form
    68,177.84/102,267.50 = 23,804.69/x
  3. Step 3: Cross multiply
    68,177.84x = 102,267.50 × 23,804.69
  4. Step 4: Simplify right side
    68,177.84x = 2,434,445,504.21
  5. Step 5: Solve for x
    x = 2,434,445,504.21/68,177.84
  6. Step 6: Final answer
    x = 35,707.29

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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.