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Finding the Fourth Proportional to 76,422.10, 114,471.54 and 48,327.66

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Solution

The fourth proportional to 76,422.10, 114,471.54 and 48,327.66 is: 72,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,422.10 : 114,471.54 = 48,327.66 : x
  2. Step 2: Convert to fraction form
    76,422.10/114,471.54 = 48,327.66/x
  3. Step 3: Cross multiply
    76,422.10x = 114,471.54 × 48,327.66
  4. Step 4: Simplify right side
    76,422.10x = 5,532,141,664.80
  5. Step 5: Solve for x
    x = 5,532,141,664.80/76,422.10
  6. Step 6: Final answer
    x = 72,389.29

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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.