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Finding the Fourth Proportional to 83,181.96, 114,748.44 and 56,315.04

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Solution

The fourth proportional to 83,181.96, 114,748.44 and 56,315.04 is: 77,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,181.96 : 114,748.44 = 56,315.04 : x
  2. Step 2: Convert to fraction form
    83,181.96/114,748.44 = 56,315.04/x
  3. Step 3: Cross multiply
    83,181.96x = 114,748.44 × 56,315.04
  4. Step 4: Simplify right side
    83,181.96x = 6,462,062,988.54
  5. Step 5: Solve for x
    x = 6,462,062,988.54/83,181.96
  6. Step 6: Final answer
    x = 77,685.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.