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Finding the Fourth Proportional to 76,232.54, 114,359.88 and 23,646.26

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Solution

The fourth proportional to 76,232.54, 114,359.88 and 23,646.26 is: 35,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,232.54 : 114,359.88 = 23,646.26 : x
  2. Step 2: Convert to fraction form
    76,232.54/114,359.88 = 23,646.26/x
  3. Step 3: Cross multiply
    76,232.54x = 114,359.88 × 23,646.26
  4. Step 4: Simplify right side
    76,232.54x = 2,704,183,456.05
  5. Step 5: Solve for x
    x = 2,704,183,456.05/76,232.54
  6. Step 6: Final answer
    x = 35,472.82

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1.5x scale

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.