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Finding the Fourth Proportional to 35,241.60, 52,862.10 and 8,946

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Solution

The fourth proportional to 35,241.60, 52,862.10 and 8,946 is: 13,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,241.60 : 52,862.10 = 8,946 : x
  2. Step 2: Convert to fraction form
    35,241.60/52,862.10 = 8,946/x
  3. Step 3: Cross multiply
    35,241.60x = 52,862.10 × 8,946
  4. Step 4: Simplify right side
    35,241.60x = 472,904,346.60
  5. Step 5: Solve for x
    x = 472,904,346.60/35,241.60
  6. Step 6: Final answer
    x = 13,418.92

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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.