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Finding the Fourth Proportional to 76,438.67, 105,486.32 and 42,449.27

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Solution

The fourth proportional to 76,438.67, 105,486.32 and 42,449.27 is: 58,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,438.67 : 105,486.32 = 42,449.27 : x
  2. Step 2: Convert to fraction form
    76,438.67/105,486.32 = 42,449.27/x
  3. Step 3: Cross multiply
    76,438.67x = 105,486.32 × 42,449.27
  4. Step 4: Simplify right side
    76,438.67x = 4,477,816,539.31
  5. Step 5: Solve for x
    x = 4,477,816,539.31/76,438.67
  6. Step 6: Final answer
    x = 58,580.52

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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.