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Finding the Fourth Proportional to 32,974.95, 49,461.98 and 8,014.93

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Solution

The fourth proportional to 32,974.95, 49,461.98 and 8,014.93 is: 12,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,974.95 : 49,461.98 = 8,014.93 : x
  2. Step 2: Convert to fraction form
    32,974.95/49,461.98 = 8,014.93/x
  3. Step 3: Cross multiply
    32,974.95x = 49,461.98 × 8,014.93
  4. Step 4: Simplify right side
    32,974.95x = 396,434,173.69
  5. Step 5: Solve for x
    x = 396,434,173.69/32,974.95
  6. Step 6: Final answer
    x = 12,022.28

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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.