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Finding the Fourth Proportional to 30,782.01, 46,156.50 and 15,954.15

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Solution

The fourth proportional to 30,782.01, 46,156.50 and 15,954.15 is: 23,922.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.01 : 46,156.50 = 15,954.15 : x
  2. Step 2: Convert to fraction form
    30,782.01/46,156.50 = 15,954.15/x
  3. Step 3: Cross multiply
    30,782.01x = 46,156.50 × 15,954.15
  4. Step 4: Simplify right side
    30,782.01x = 736,387,724.48
  5. Step 5: Solve for x
    x = 736,387,724.48/30,782.01
  6. Step 6: Final answer
    x = 23,922.67

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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.