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Finding the Fourth Proportional to 35,215.50, 52,825.17 and 8,920.47

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Solution

The fourth proportional to 35,215.50, 52,825.17 and 8,920.47 is: 13,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,215.50 : 52,825.17 = 8,920.47 : x
  2. Step 2: Convert to fraction form
    35,215.50/52,825.17 = 8,920.47/x
  3. Step 3: Cross multiply
    35,215.50x = 52,825.17 × 8,920.47
  4. Step 4: Simplify right side
    35,215.50x = 471,225,300.50
  5. Step 5: Solve for x
    x = 471,225,300.50/35,215.50
  6. Step 6: Final answer
    x = 13,381.19

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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.