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Finding the Fourth Proportional to 35,411.20, 53,092.20 and 15,679

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Solution

The fourth proportional to 35,411.20, 53,092.20 and 15,679 is: 23,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,411.20 : 53,092.20 = 15,679 : x
  2. Step 2: Convert to fraction form
    35,411.20/53,092.20 = 15,679/x
  3. Step 3: Cross multiply
    35,411.20x = 53,092.20 × 15,679
  4. Step 4: Simplify right side
    35,411.20x = 832,432,603.80
  5. Step 5: Solve for x
    x = 832,432,603.80/35,411.20
  6. Step 6: Final answer
    x = 23,507.61

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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.