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Finding the Fourth Proportional to 82,926.56, 114,437.94 and 45,200

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Solution

The fourth proportional to 82,926.56, 114,437.94 and 45,200 is: 62,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,926.56 : 114,437.94 = 45,200 : x
  2. Step 2: Convert to fraction form
    82,926.56/114,437.94 = 45,200/x
  3. Step 3: Cross multiply
    82,926.56x = 114,437.94 × 45,200
  4. Step 4: Simplify right side
    82,926.56x = 5,172,594,888
  5. Step 5: Solve for x
    x = 5,172,594,888/82,926.56
  6. Step 6: Final answer
    x = 62,375.61

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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.