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Finding the Fourth Proportional to 76,475.97, 114,713.10 and 53,893.89

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Solution

The fourth proportional to 76,475.97, 114,713.10 and 53,893.89 is: 80,840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,475.97 : 114,713.10 = 53,893.89 : x
  2. Step 2: Convert to fraction form
    76,475.97/114,713.10 = 53,893.89/x
  3. Step 3: Cross multiply
    76,475.97x = 114,713.10 × 53,893.89
  4. Step 4: Simplify right side
    76,475.97x = 6,182,335,192.96
  5. Step 5: Solve for x
    x = 6,182,335,192.96/76,475.97
  6. Step 6: Final answer
    x = 80,840.23

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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.