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Finding the Fourth Proportional to 82,685.72, 113,975.28 and 75,821.12

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Solution

The fourth proportional to 82,685.72, 113,975.28 and 75,821.12 is: 104,513.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,685.72 : 113,975.28 = 75,821.12 : x
  2. Step 2: Convert to fraction form
    82,685.72/113,975.28 = 75,821.12/x
  3. Step 3: Cross multiply
    82,685.72x = 113,975.28 × 75,821.12
  4. Step 4: Simplify right side
    82,685.72x = 8,641,733,381.91
  5. Step 5: Solve for x
    x = 8,641,733,381.91/82,685.72
  6. Step 6: Final answer
    x = 104,513.01

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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.