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Finding the Fourth Proportional to 35,236.80, 52,854.96 and 8,582.47

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Solution

The fourth proportional to 35,236.80, 52,854.96 and 8,582.47 is: 12,873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,236.80 : 52,854.96 = 8,582.47 : x
  2. Step 2: Convert to fraction form
    35,236.80/52,854.96 = 8,582.47/x
  3. Step 3: Cross multiply
    35,236.80x = 52,854.96 × 8,582.47
  4. Step 4: Simplify right side
    35,236.80x = 453,626,108.55
  5. Step 5: Solve for x
    x = 453,626,108.55/35,236.80
  6. Step 6: Final answer
    x = 12,873.65

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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.