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Finding the Fourth Proportional to 76,364, 114,548.16 and 20,960

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Solution

The fourth proportional to 76,364, 114,548.16 and 20,960 is: 31,440.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,364 : 114,548.16 = 20,960 : x
  2. Step 2: Convert to fraction form
    76,364/114,548.16 = 20,960/x
  3. Step 3: Cross multiply
    76,364x = 114,548.16 × 20,960
  4. Step 4: Simplify right side
    76,364x = 2,400,929,433.60
  5. Step 5: Solve for x
    x = 2,400,929,433.60/76,364
  6. Step 6: Final answer
    x = 31,440.59

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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.