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Finding the Fourth Proportional to 32,671, 49,006.50 and 14,203

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Solution

The fourth proportional to 32,671, 49,006.50 and 14,203 is: 21,304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,671 : 49,006.50 = 14,203 : x
  2. Step 2: Convert to fraction form
    32,671/49,006.50 = 14,203/x
  3. Step 3: Cross multiply
    32,671x = 49,006.50 × 14,203
  4. Step 4: Simplify right side
    32,671x = 696,039,319.50
  5. Step 5: Solve for x
    x = 696,039,319.50/32,671
  6. Step 6: Final answer
    x = 21,304.50

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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.