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Finding the Fourth Proportional to 30,842.46, 46,263.96 and 7,468.92

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Solution

The fourth proportional to 30,842.46, 46,263.96 and 7,468.92 is: 11,203.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.46 : 46,263.96 = 7,468.92 : x
  2. Step 2: Convert to fraction form
    30,842.46/46,263.96 = 7,468.92/x
  3. Step 3: Cross multiply
    30,842.46x = 46,263.96 × 7,468.92
  4. Step 4: Simplify right side
    30,842.46x = 345,541,816.12
  5. Step 5: Solve for x
    x = 345,541,816.12/30,842.46
  6. Step 6: Final answer
    x = 11,203.45

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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.