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Finding the Fourth Proportional to 32,763.46, 49,104.15 and 14,021.56

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Solution

The fourth proportional to 32,763.46, 49,104.15 and 14,021.56 is: 21,014.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,763.46 : 49,104.15 = 14,021.56 : x
  2. Step 2: Convert to fraction form
    32,763.46/49,104.15 = 14,021.56/x
  3. Step 3: Cross multiply
    32,763.46x = 49,104.15 × 14,021.56
  4. Step 4: Simplify right side
    32,763.46x = 688,516,557.50
  5. Step 5: Solve for x
    x = 688,516,557.50/32,763.46
  6. Step 6: Final answer
    x = 21,014.77

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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.