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Finding the Fourth Proportional to 68,352, 102,531.84 and 19,107.84

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Solution

The fourth proportional to 68,352, 102,531.84 and 19,107.84 is: 28,662.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,352 : 102,531.84 = 19,107.84 : x
  2. Step 2: Convert to fraction form
    68,352/102,531.84 = 19,107.84/x
  3. Step 3: Cross multiply
    68,352x = 102,531.84 × 19,107.84
  4. Step 4: Simplify right side
    68,352x = 1,959,161,993.63
  5. Step 5: Solve for x
    x = 1,959,161,993.63/68,352
  6. Step 6: Final answer
    x = 28,662.83

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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.