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Finding the Fourth Proportional to 120,528.96, 180,785.94 and 31,780.50

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Solution

The fourth proportional to 120,528.96, 180,785.94 and 31,780.50 is: 47,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,528.96 : 180,785.94 = 31,780.50 : x
  2. Step 2: Convert to fraction form
    120,528.96/180,785.94 = 31,780.50/x
  3. Step 3: Cross multiply
    120,528.96x = 180,785.94 × 31,780.50
  4. Step 4: Simplify right side
    120,528.96x = 5,745,467,566.17
  5. Step 5: Solve for x
    x = 5,745,467,566.17/120,528.96
  6. Step 6: Final answer
    x = 47,668.77

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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.