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Finding the Fourth Proportional to 69,671.94, 104,464.17 and 31,732.95

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Solution

The fourth proportional to 69,671.94, 104,464.17 and 31,732.95 is: 47,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,671.94 : 104,464.17 = 31,732.95 : x
  2. Step 2: Convert to fraction form
    69,671.94/104,464.17 = 31,732.95/x
  3. Step 3: Cross multiply
    69,671.94x = 104,464.17 × 31,732.95
  4. Step 4: Simplify right side
    69,671.94x = 3,314,956,283.40
  5. Step 5: Solve for x
    x = 3,314,956,283.40/69,671.94
  6. Step 6: Final answer
    x = 47,579.50

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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.