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Finding the Fourth Proportional to 83,157.56, 124,755.82 and 56,874.68

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Solution

The fourth proportional to 83,157.56, 124,755.82 and 56,874.68 is: 85,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,157.56 : 124,755.82 = 56,874.68 : x
  2. Step 2: Convert to fraction form
    83,157.56/124,755.82 = 56,874.68/x
  3. Step 3: Cross multiply
    83,157.56x = 124,755.82 × 56,874.68
  4. Step 4: Simplify right side
    83,157.56x = 7,095,447,340.64
  5. Step 5: Solve for x
    x = 7,095,447,340.64/83,157.56
  6. Step 6: Final answer
    x = 85,325.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.