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Finding the Fourth Proportional to 39,782.49, 59,631.89 and 30,402.15

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Solution

The fourth proportional to 39,782.49, 59,631.89 and 30,402.15 is: 45,571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782.49 : 59,631.89 = 30,402.15 : x
  2. Step 2: Convert to fraction form
    39,782.49/59,631.89 = 30,402.15/x
  3. Step 3: Cross multiply
    39,782.49x = 59,631.89 × 30,402.15
  4. Step 4: Simplify right side
    39,782.49x = 1,812,937,512.55
  5. Step 5: Solve for x
    x = 1,812,937,512.55/39,782.49
  6. Step 6: Final answer
    x = 45,571.24

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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.