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Finding the Fourth Proportional to 82,120.72, 123,148.50 and 28,071.94

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Solution

The fourth proportional to 82,120.72, 123,148.50 and 28,071.94 is: 42,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,120.72 : 123,148.50 = 28,071.94 : x
  2. Step 2: Convert to fraction form
    82,120.72/123,148.50 = 28,071.94/x
  3. Step 3: Cross multiply
    82,120.72x = 123,148.50 × 28,071.94
  4. Step 4: Simplify right side
    82,120.72x = 3,457,017,303.09
  5. Step 5: Solve for x
    x = 3,457,017,303.09/82,120.72
  6. Step 6: Final answer
    x = 42,096.77

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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.