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Finding the Fourth Proportional to 30,952.83, 42,714.25 and 16,805.68

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Solution

The fourth proportional to 30,952.83, 42,714.25 and 16,805.68 is: 23,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.83 : 42,714.25 = 16,805.68 : x
  2. Step 2: Convert to fraction form
    30,952.83/42,714.25 = 16,805.68/x
  3. Step 3: Cross multiply
    30,952.83x = 42,714.25 × 16,805.68
  4. Step 4: Simplify right side
    30,952.83x = 717,842,016.94
  5. Step 5: Solve for x
    x = 717,842,016.94/30,952.83
  6. Step 6: Final answer
    x = 23,191.48

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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.