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Finding the Fourth Proportional to 29,534.81, 44,322.74 and 12,004.66

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Solution

The fourth proportional to 29,534.81, 44,322.74 and 12,004.66 is: 18,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,534.81 : 44,322.74 = 12,004.66 : x
  2. Step 2: Convert to fraction form
    29,534.81/44,322.74 = 12,004.66/x
  3. Step 3: Cross multiply
    29,534.81x = 44,322.74 × 12,004.66
  4. Step 4: Simplify right side
    29,534.81x = 532,079,343.17
  5. Step 5: Solve for x
    x = 532,079,343.17/29,534.81
  6. Step 6: Final answer
    x = 18,015.33

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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.