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Finding the Fourth Proportional to 32,764.68, 49,108.14 and 17,980.56

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Solution

The fourth proportional to 32,764.68, 49,108.14 and 17,980.56 is: 26,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,764.68 : 49,108.14 = 17,980.56 : x
  2. Step 2: Convert to fraction form
    32,764.68/49,108.14 = 17,980.56/x
  3. Step 3: Cross multiply
    32,764.68x = 49,108.14 × 17,980.56
  4. Step 4: Simplify right side
    32,764.68x = 882,991,857.76
  5. Step 5: Solve for x
    x = 882,991,857.76/32,764.68
  6. Step 6: Final answer
    x = 26,949.50

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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.