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Finding the Fourth Proportional to 32,967.64, 49,457.94 and 12,191.32

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Solution

The fourth proportional to 32,967.64, 49,457.94 and 12,191.32 is: 18,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967.64 : 49,457.94 = 12,191.32 : x
  2. Step 2: Convert to fraction form
    32,967.64/49,457.94 = 12,191.32/x
  3. Step 3: Cross multiply
    32,967.64x = 49,457.94 × 12,191.32
  4. Step 4: Simplify right side
    32,967.64x = 602,957,573.08
  5. Step 5: Solve for x
    x = 602,957,573.08/32,967.64
  6. Step 6: Final answer
    x = 18,289.38

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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.