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Finding the Fourth Proportional to 30,842.32, 46,267.85 and 9,496.79

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Solution

The fourth proportional to 30,842.32, 46,267.85 and 9,496.79 is: 14,246.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.32 : 46,267.85 = 9,496.79 : x
  2. Step 2: Convert to fraction form
    30,842.32/46,267.85 = 9,496.79/x
  3. Step 3: Cross multiply
    30,842.32x = 46,267.85 × 9,496.79
  4. Step 4: Simplify right side
    30,842.32x = 439,396,055.20
  5. Step 5: Solve for x
    x = 439,396,055.20/30,842.32
  6. Step 6: Final answer
    x = 14,246.53

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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.