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Finding the Fourth Proportional to 74,095.65, 102,226.80 and 41,826.47

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Solution

The fourth proportional to 74,095.65, 102,226.80 and 41,826.47 is: 57,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,095.65 : 102,226.80 = 41,826.47 : x
  2. Step 2: Convert to fraction form
    74,095.65/102,226.80 = 41,826.47/x
  3. Step 3: Cross multiply
    74,095.65x = 102,226.80 × 41,826.47
  4. Step 4: Simplify right side
    74,095.65x = 4,275,785,672.26
  5. Step 5: Solve for x
    x = 4,275,785,672.26/74,095.65
  6. Step 6: Final answer
    x = 57,706.30

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Why These Related Problems?

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