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Finding the Fourth Proportional to 32,990.10, 49,485.15 and 8,029.95

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Solution

The fourth proportional to 32,990.10, 49,485.15 and 8,029.95 is: 12,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,990.10 : 49,485.15 = 8,029.95 : x
  2. Step 2: Convert to fraction form
    32,990.10/49,485.15 = 8,029.95/x
  3. Step 3: Cross multiply
    32,990.10x = 49,485.15 × 8,029.95
  4. Step 4: Simplify right side
    32,990.10x = 397,363,280.24
  5. Step 5: Solve for x
    x = 397,363,280.24/32,990.10
  6. Step 6: Final answer
    x = 12,044.93

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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.