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Finding the Fourth Proportional to 76,422.86, 105,466.84 and 42,431.35

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Solution

The fourth proportional to 76,422.86, 105,466.84 and 42,431.35 is: 58,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,422.86 : 105,466.84 = 42,431.35 : x
  2. Step 2: Convert to fraction form
    76,422.86/105,466.84 = 42,431.35/x
  3. Step 3: Cross multiply
    76,422.86x = 105,466.84 × 42,431.35
  4. Step 4: Simplify right side
    76,422.86x = 4,475,100,084.73
  5. Step 5: Solve for x
    x = 4,475,100,084.73/76,422.86
  6. Step 6: Final answer
    x = 58,557.09

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