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Finding the Fourth Proportional to 82,007.65, 113,237.63 and 51,841.63

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Solution

The fourth proportional to 82,007.65, 113,237.63 and 51,841.63 is: 71,583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,007.65 : 113,237.63 = 51,841.63 : x
  2. Step 2: Convert to fraction form
    82,007.65/113,237.63 = 51,841.63/x
  3. Step 3: Cross multiply
    82,007.65x = 113,237.63 × 51,841.63
  4. Step 4: Simplify right side
    82,007.65x = 5,870,423,316.54
  5. Step 5: Solve for x
    x = 5,870,423,316.54/82,007.65
  6. Step 6: Final answer
    x = 71,583.85

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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.