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Finding the Fourth Proportional to 83,476.42, 115,214.83 and 76,751.39

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Solution

The fourth proportional to 83,476.42, 115,214.83 and 76,751.39 is: 105,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,476.42 : 115,214.83 = 76,751.39 : x
  2. Step 2: Convert to fraction form
    83,476.42/115,214.83 = 76,751.39/x
  3. Step 3: Cross multiply
    83,476.42x = 115,214.83 × 76,751.39
  4. Step 4: Simplify right side
    83,476.42x = 8,842,898,447.27
  5. Step 5: Solve for x
    x = 8,842,898,447.27/83,476.42
  6. Step 6: Final answer
    x = 105,932.89

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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.