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Finding the Fourth Proportional to 32,985.97, 49,479.00 and 8,026.03

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Solution

The fourth proportional to 32,985.97, 49,479.00 and 8,026.03 is: 12,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,985.97 : 49,479.00 = 8,026.03 : x
  2. Step 2: Convert to fraction form
    32,985.97/49,479.00 = 8,026.03/x
  3. Step 3: Cross multiply
    32,985.97x = 49,479.00 × 8,026.03
  4. Step 4: Simplify right side
    32,985.97x = 397,119,736.95
  5. Step 5: Solve for x
    x = 397,119,736.95/32,985.97
  6. Step 6: Final answer
    x = 12,039.05

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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.