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Finding the Fourth Proportional to 30,470.96, 45,675.44 and 13,842.84

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Solution

The fourth proportional to 30,470.96, 45,675.44 and 13,842.84 is: 20,750.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470.96 : 45,675.44 = 13,842.84 : x
  2. Step 2: Convert to fraction form
    30,470.96/45,675.44 = 13,842.84/x
  3. Step 3: Cross multiply
    30,470.96x = 45,675.44 × 13,842.84
  4. Step 4: Simplify right side
    30,470.96x = 632,277,807.85
  5. Step 5: Solve for x
    x = 632,277,807.85/30,470.96
  6. Step 6: Final answer
    x = 20,750.18

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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.