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Finding the Fourth Proportional to 30,842.48, 46,256.80 and 14,186.52

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Solution

The fourth proportional to 30,842.48, 46,256.80 and 14,186.52 is: 21,276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.48 : 46,256.80 = 14,186.52 : x
  2. Step 2: Convert to fraction form
    30,842.48/46,256.80 = 14,186.52/x
  3. Step 3: Cross multiply
    30,842.48x = 46,256.80 × 14,186.52
  4. Step 4: Simplify right side
    30,842.48x = 656,222,716.12
  5. Step 5: Solve for x
    x = 656,222,716.12/30,842.48
  6. Step 6: Final answer
    x = 21,276.59

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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.