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Finding the Fourth Proportional to 35,284.25, 52,978.91 and 14,265.33

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Solution

The fourth proportional to 35,284.25, 52,978.91 and 14,265.33 is: 21,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,284.25 : 52,978.91 = 14,265.33 : x
  2. Step 2: Convert to fraction form
    35,284.25/52,978.91 = 14,265.33/x
  3. Step 3: Cross multiply
    35,284.25x = 52,978.91 × 14,265.33
  4. Step 4: Simplify right side
    35,284.25x = 755,761,562.86
  5. Step 5: Solve for x
    x = 755,761,562.86/35,284.25
  6. Step 6: Final answer
    x = 21,419.24

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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.