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Finding the Fourth Proportional to 35,496.73, 53,277.91 and 17,978.86

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Solution

The fourth proportional to 35,496.73, 53,277.91 and 17,978.86 is: 26,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,496.73 : 53,277.91 = 17,978.86 : x
  2. Step 2: Convert to fraction form
    35,496.73/53,277.91 = 17,978.86/x
  3. Step 3: Cross multiply
    35,496.73x = 53,277.91 × 17,978.86
  4. Step 4: Simplify right side
    35,496.73x = 957,876,084.98
  5. Step 5: Solve for x
    x = 957,876,084.98/35,496.73
  6. Step 6: Final answer
    x = 26,984.91

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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.