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Finding the Fourth Proportional to 29,564.28, 44,322.47 and 20,180.67

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Solution

The fourth proportional to 29,564.28, 44,322.47 and 20,180.67 is: 30,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,564.28 : 44,322.47 = 20,180.67 : x
  2. Step 2: Convert to fraction form
    29,564.28/44,322.47 = 20,180.67/x
  3. Step 3: Cross multiply
    29,564.28x = 44,322.47 × 20,180.67
  4. Step 4: Simplify right side
    29,564.28x = 894,457,140.65
  5. Step 5: Solve for x
    x = 894,457,140.65/29,564.28
  6. Step 6: Final answer
    x = 30,254.66

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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.