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Finding the Fourth Proportional to 30,687.24, 46,008.90 and 13,147.50

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Solution

The fourth proportional to 30,687.24, 46,008.90 and 13,147.50 is: 19,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,687.24 : 46,008.90 = 13,147.50 : x
  2. Step 2: Convert to fraction form
    30,687.24/46,008.90 = 13,147.50/x
  3. Step 3: Cross multiply
    30,687.24x = 46,008.90 × 13,147.50
  4. Step 4: Simplify right side
    30,687.24x = 604,902,012.75
  5. Step 5: Solve for x
    x = 604,902,012.75/30,687.24
  6. Step 6: Final answer
    x = 19,711.84

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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.