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Finding the Fourth Proportional to 33,012.76, 49,518.64 and 8,053

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Solution

The fourth proportional to 33,012.76, 49,518.64 and 8,053 is: 12,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,012.76 : 49,518.64 = 8,053 : x
  2. Step 2: Convert to fraction form
    33,012.76/49,518.64 = 8,053/x
  3. Step 3: Cross multiply
    33,012.76x = 49,518.64 × 8,053
  4. Step 4: Simplify right side
    33,012.76x = 398,773,607.92
  5. Step 5: Solve for x
    x = 398,773,607.92/33,012.76
  6. Step 6: Final answer
    x = 12,079.38

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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.