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Finding the Fourth Proportional to 30,842.04, 46,263.18 and 7,468.44

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Solution

The fourth proportional to 30,842.04, 46,263.18 and 7,468.44 is: 11,202.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.04 : 46,263.18 = 7,468.44 : x
  2. Step 2: Convert to fraction form
    30,842.04/46,263.18 = 7,468.44/x
  3. Step 3: Cross multiply
    30,842.04x = 46,263.18 × 7,468.44
  4. Step 4: Simplify right side
    30,842.04x = 345,513,784.04
  5. Step 5: Solve for x
    x = 345,513,784.04/30,842.04
  6. Step 6: Final answer
    x = 11,202.69

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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.