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Finding the Fourth Proportional to 32,967.10, 49,415.79 and 10,774.51

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Solution

The fourth proportional to 32,967.10, 49,415.79 and 10,774.51 is: 16,150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967.10 : 49,415.79 = 10,774.51 : x
  2. Step 2: Convert to fraction form
    32,967.10/49,415.79 = 10,774.51/x
  3. Step 3: Cross multiply
    32,967.10x = 49,415.79 × 10,774.51
  4. Step 4: Simplify right side
    32,967.10x = 532,430,923.51
  5. Step 5: Solve for x
    x = 532,430,923.51/32,967.10
  6. Step 6: Final answer
    x = 16,150.37

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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.