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Finding the Fourth Proportional to 35,233, 52,849.50 and 10,609

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Solution

The fourth proportional to 35,233, 52,849.50 and 10,609 is: 15,913.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,233 : 52,849.50 = 10,609 : x
  2. Step 2: Convert to fraction form
    35,233/52,849.50 = 10,609/x
  3. Step 3: Cross multiply
    35,233x = 52,849.50 × 10,609
  4. Step 4: Simplify right side
    35,233x = 560,680,345.50
  5. Step 5: Solve for x
    x = 560,680,345.50/35,233
  6. Step 6: Final answer
    x = 15,913.50

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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.