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Finding the Fourth Proportional to 82,896.65, 114,397.44 and 45,170.90

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Solution

The fourth proportional to 82,896.65, 114,397.44 and 45,170.90 is: 62,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,896.65 : 114,397.44 = 45,170.90 : x
  2. Step 2: Convert to fraction form
    82,896.65/114,397.44 = 45,170.90/x
  3. Step 3: Cross multiply
    82,896.65x = 114,397.44 × 45,170.90
  4. Step 4: Simplify right side
    82,896.65x = 5,167,434,750.51
  5. Step 5: Solve for x
    x = 5,167,434,750.51/82,896.65
  6. Step 6: Final answer
    x = 62,335.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.