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Finding the Fourth Proportional to 76,754.98, 115,148.00 and 32,381.83

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Solution

The fourth proportional to 76,754.98, 115,148.00 and 32,381.83 is: 48,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,754.98 : 115,148.00 = 32,381.83 : x
  2. Step 2: Convert to fraction form
    76,754.98/115,148.00 = 32,381.83/x
  3. Step 3: Cross multiply
    76,754.98x = 115,148.00 × 32,381.83
  4. Step 4: Simplify right side
    76,754.98x = 3,728,702,798.93
  5. Step 5: Solve for x
    x = 3,728,702,798.93/76,754.98
  6. Step 6: Final answer
    x = 48,579.29

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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.