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Finding the Fourth Proportional to 32,969.40, 49,429.80 and 14,234.10

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Solution

The fourth proportional to 32,969.40, 49,429.80 and 14,234.10 is: 21,340.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969.40 : 49,429.80 = 14,234.10 : x
  2. Step 2: Convert to fraction form
    32,969.40/49,429.80 = 14,234.10/x
  3. Step 3: Cross multiply
    32,969.40x = 49,429.80 × 14,234.10
  4. Step 4: Simplify right side
    32,969.40x = 703,588,716.18
  5. Step 5: Solve for x
    x = 703,588,716.18/32,969.40
  6. Step 6: Final answer
    x = 21,340.66

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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.