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Finding the Fourth Proportional to 30,777.14, 46,129.26 and 14,123.14

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Solution

The fourth proportional to 30,777.14, 46,129.26 and 14,123.14 is: 21,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777.14 : 46,129.26 = 14,123.14 : x
  2. Step 2: Convert to fraction form
    30,777.14/46,129.26 = 14,123.14/x
  3. Step 3: Cross multiply
    30,777.14x = 46,129.26 × 14,123.14
  4. Step 4: Simplify right side
    30,777.14x = 651,489,997.08
  5. Step 5: Solve for x
    x = 651,489,997.08/30,777.14
  6. Step 6: Final answer
    x = 21,167.98

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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.