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Finding the Fourth Proportional to 35,241.82, 52,862 and 8,587.96

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Solution

The fourth proportional to 35,241.82, 52,862 and 8,587.96 is: 12,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,241.82 : 52,862 = 8,587.96 : x
  2. Step 2: Convert to fraction form
    35,241.82/52,862 = 8,587.96/x
  3. Step 3: Cross multiply
    35,241.82x = 52,862 × 8,587.96
  4. Step 4: Simplify right side
    35,241.82x = 453,976,741.52
  5. Step 5: Solve for x
    x = 453,976,741.52/35,241.82
  6. Step 6: Final answer
    x = 12,881.76

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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.