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Finding the Fourth Proportional to 32,978.02, 49,448.53 and 14,246.37

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Solution

The fourth proportional to 32,978.02, 49,448.53 and 14,246.37 is: 21,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,978.02 : 49,448.53 = 14,246.37 : x
  2. Step 2: Convert to fraction form
    32,978.02/49,448.53 = 14,246.37/x
  3. Step 3: Cross multiply
    32,978.02x = 49,448.53 × 14,246.37
  4. Step 4: Simplify right side
    32,978.02x = 704,461,807.09
  5. Step 5: Solve for x
    x = 704,461,807.09/32,978.02
  6. Step 6: Final answer
    x = 21,361.56

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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.