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Finding the Fourth Proportional to 76,469, 114,703.52 and 23,883

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Solution

The fourth proportional to 76,469, 114,703.52 and 23,883 is: 35,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,469 : 114,703.52 = 23,883 : x
  2. Step 2: Convert to fraction form
    76,469/114,703.52 = 23,883/x
  3. Step 3: Cross multiply
    76,469x = 114,703.52 × 23,883
  4. Step 4: Simplify right side
    76,469x = 2,739,464,168.16
  5. Step 5: Solve for x
    x = 2,739,464,168.16/76,469
  6. Step 6: Final answer
    x = 35,824.51

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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.