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Finding the Fourth Proportional to 76,641.63, 114,979.74 and 23,338.37

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Solution

The fourth proportional to 76,641.63, 114,979.74 and 23,338.37 is: 35,012.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,641.63 : 114,979.74 = 23,338.37 : x
  2. Step 2: Convert to fraction form
    76,641.63/114,979.74 = 23,338.37/x
  3. Step 3: Cross multiply
    76,641.63x = 114,979.74 × 23,338.37
  4. Step 4: Simplify right side
    76,641.63x = 2,683,439,714.62
  5. Step 5: Solve for x
    x = 2,683,439,714.62/76,641.63
  6. Step 6: Final answer
    x = 35,012.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.