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Finding the Fourth Proportional to 30,842.48, 46,261.56 and 8,654.96

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Solution

The fourth proportional to 30,842.48, 46,261.56 and 8,654.96 is: 12,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.48 : 46,261.56 = 8,654.96 : x
  2. Step 2: Convert to fraction form
    30,842.48/46,261.56 = 8,654.96/x
  3. Step 3: Cross multiply
    30,842.48x = 46,261.56 × 8,654.96
  4. Step 4: Simplify right side
    30,842.48x = 400,391,951.34
  5. Step 5: Solve for x
    x = 400,391,951.34/30,842.48
  6. Step 6: Final answer
    x = 12,981.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.