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Finding the Fourth Proportional to 30,952.65, 42,714.77 and 16,805.49

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Solution

The fourth proportional to 30,952.65, 42,714.77 and 16,805.49 is: 23,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.65 : 42,714.77 = 16,805.49 : x
  2. Step 2: Convert to fraction form
    30,952.65/42,714.77 = 16,805.49/x
  3. Step 3: Cross multiply
    30,952.65x = 42,714.77 × 16,805.49
  4. Step 4: Simplify right side
    30,952.65x = 717,842,640.09
  5. Step 5: Solve for x
    x = 717,842,640.09/30,952.65
  6. Step 6: Final answer
    x = 23,191.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.