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Finding the Fourth Proportional to 32,980.26, 49,491.84 and 14,278.56

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Solution

The fourth proportional to 32,980.26, 49,491.84 and 14,278.56 is: 21,427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.26 : 49,491.84 = 14,278.56 : x
  2. Step 2: Convert to fraction form
    32,980.26/49,491.84 = 14,278.56/x
  3. Step 3: Cross multiply
    32,980.26x = 49,491.84 × 14,278.56
  4. Step 4: Simplify right side
    32,980.26x = 706,672,206.95
  5. Step 5: Solve for x
    x = 706,672,206.95/32,980.26
  6. Step 6: Final answer
    x = 21,427.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.