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Finding the Fourth Proportional to 76,677.20, 105,814.32 and 43,143.20

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Solution

The fourth proportional to 76,677.20, 105,814.32 and 43,143.20 is: 59,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,677.20 : 105,814.32 = 43,143.20 : x
  2. Step 2: Convert to fraction form
    76,677.20/105,814.32 = 43,143.20/x
  3. Step 3: Cross multiply
    76,677.20x = 105,814.32 × 43,143.20
  4. Step 4: Simplify right side
    76,677.20x = 4,565,168,370.62
  5. Step 5: Solve for x
    x = 4,565,168,370.62/76,677.20
  6. Step 6: Final answer
    x = 59,537.49

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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.