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Finding the Fourth Proportional to 35,206.50, 52,813.01 and 11,514.18

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Solution

The fourth proportional to 35,206.50, 52,813.01 and 11,514.18 is: 17,272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,206.50 : 52,813.01 = 11,514.18 : x
  2. Step 2: Convert to fraction form
    35,206.50/52,813.01 = 11,514.18/x
  3. Step 3: Cross multiply
    35,206.50x = 52,813.01 × 11,514.18
  4. Step 4: Simplify right side
    35,206.50x = 608,098,445.91
  5. Step 5: Solve for x
    x = 608,098,445.91/35,206.50
  6. Step 6: Final answer
    x = 17,272.33

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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.