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Finding the Fourth Proportional to 32,677, 49,015.50 and 8,053

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Solution

The fourth proportional to 32,677, 49,015.50 and 8,053 is: 12,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677 : 49,015.50 = 8,053 : x
  2. Step 2: Convert to fraction form
    32,677/49,015.50 = 8,053/x
  3. Step 3: Cross multiply
    32,677x = 49,015.50 × 8,053
  4. Step 4: Simplify right side
    32,677x = 394,721,821.50
  5. Step 5: Solve for x
    x = 394,721,821.50/32,677
  6. Step 6: Final answer
    x = 12,079.50

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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.