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Finding the Fourth Proportional to 29,782.90, 44,586.44 and 15,712.63

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Solution

The fourth proportional to 29,782.90, 44,586.44 and 15,712.63 is: 23,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.90 : 44,586.44 = 15,712.63 : x
  2. Step 2: Convert to fraction form
    29,782.90/44,586.44 = 15,712.63/x
  3. Step 3: Cross multiply
    29,782.90x = 44,586.44 × 15,712.63
  4. Step 4: Simplify right side
    29,782.90x = 700,570,050.18
  5. Step 5: Solve for x
    x = 700,570,050.18/29,782.90
  6. Step 6: Final answer
    x = 23,522.56

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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.