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Finding the Fourth Proportional to 83,842.50, 115,674.42 and 56,938.35

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Solution

The fourth proportional to 83,842.50, 115,674.42 and 56,938.35 is: 78,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,842.50 : 115,674.42 = 56,938.35 : x
  2. Step 2: Convert to fraction form
    83,842.50/115,674.42 = 56,938.35/x
  3. Step 3: Cross multiply
    83,842.50x = 115,674.42 × 56,938.35
  4. Step 4: Simplify right side
    83,842.50x = 6,586,310,612.01
  5. Step 5: Solve for x
    x = 6,586,310,612.01/83,842.50
  6. Step 6: Final answer
    x = 78,555.75

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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.