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Finding the Fourth Proportional to 76,231.76, 114,347.64 and 34,690.64

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Solution

The fourth proportional to 76,231.76, 114,347.64 and 34,690.64 is: 52,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,231.76 : 114,347.64 = 34,690.64 : x
  2. Step 2: Convert to fraction form
    76,231.76/114,347.64 = 34,690.64/x
  3. Step 3: Cross multiply
    76,231.76x = 114,347.64 × 34,690.64
  4. Step 4: Simplify right side
    76,231.76x = 3,966,792,814.09
  5. Step 5: Solve for x
    x = 3,966,792,814.09/76,231.76
  6. Step 6: Final answer
    x = 52,035.96

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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.