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Finding the Fourth Proportional to 35,218.47, 52,830.98 and 12,734.78

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Solution

The fourth proportional to 35,218.47, 52,830.98 and 12,734.78 is: 19,103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,218.47 : 52,830.98 = 12,734.78 : x
  2. Step 2: Convert to fraction form
    35,218.47/52,830.98 = 12,734.78/x
  3. Step 3: Cross multiply
    35,218.47x = 52,830.98 × 12,734.78
  4. Step 4: Simplify right side
    35,218.47x = 672,790,579.66
  5. Step 5: Solve for x
    x = 672,790,579.66/35,218.47
  6. Step 6: Final answer
    x = 19,103.34

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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.