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Finding the Fourth Proportional to 76,577.16, 114,867.90 and 21,173.16

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Solution

The fourth proportional to 76,577.16, 114,867.90 and 21,173.16 is: 31,760.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,577.16 : 114,867.90 = 21,173.16 : x
  2. Step 2: Convert to fraction form
    76,577.16/114,867.90 = 21,173.16/x
  3. Step 3: Cross multiply
    76,577.16x = 114,867.90 × 21,173.16
  4. Step 4: Simplify right side
    76,577.16x = 2,432,116,425.56
  5. Step 5: Solve for x
    x = 2,432,116,425.56/76,577.16
  6. Step 6: Final answer
    x = 31,760.34

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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.