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Finding the Fourth Proportional to 76,458.51, 114,687.76 and 23,872.50

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Solution

The fourth proportional to 76,458.51, 114,687.76 and 23,872.50 is: 35,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,458.51 : 114,687.76 = 23,872.50 : x
  2. Step 2: Convert to fraction form
    76,458.51/114,687.76 = 23,872.50/x
  3. Step 3: Cross multiply
    76,458.51x = 114,687.76 × 23,872.50
  4. Step 4: Simplify right side
    76,458.51x = 2,737,883,481.84
  5. Step 5: Solve for x
    x = 2,737,883,481.84/76,458.51
  6. Step 6: Final answer
    x = 35,808.75

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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.