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Finding the Fourth Proportional to 76,396.67, 105,425.38 and 42,405.06

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Solution

The fourth proportional to 76,396.67, 105,425.38 and 42,405.06 is: 58,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,396.67 : 105,425.38 = 42,405.06 : x
  2. Step 2: Convert to fraction form
    76,396.67/105,425.38 = 42,405.06/x
  3. Step 3: Cross multiply
    76,396.67x = 105,425.38 × 42,405.06
  4. Step 4: Simplify right side
    76,396.67x = 4,470,569,564.42
  5. Step 5: Solve for x
    x = 4,470,569,564.42/76,396.67
  6. Step 6: Final answer
    x = 58,517.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.