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Finding the Fourth Proportional to 114,858.51, 172,287.77 and 35,978.88

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Solution

The fourth proportional to 114,858.51, 172,287.77 and 35,978.88 is: 53,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,858.51 : 172,287.77 = 35,978.88 : x
  2. Step 2: Convert to fraction form
    114,858.51/172,287.77 = 35,978.88/x
  3. Step 3: Cross multiply
    114,858.51x = 172,287.77 × 35,978.88
  4. Step 4: Simplify right side
    114,858.51x = 6,198,721,002.30
  5. Step 5: Solve for x
    x = 6,198,721,002.30/114,858.51
  6. Step 6: Final answer
    x = 53,968.32

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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.