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Finding the Fourth Proportional to 32,378.10, 48,571.26 and 9,004.56

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Solution

The fourth proportional to 32,378.10, 48,571.26 and 9,004.56 is: 13,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,378.10 : 48,571.26 = 9,004.56 : x
  2. Step 2: Convert to fraction form
    32,378.10/48,571.26 = 9,004.56/x
  3. Step 3: Cross multiply
    32,378.10x = 48,571.26 × 9,004.56
  4. Step 4: Simplify right side
    32,378.10x = 437,362,824.95
  5. Step 5: Solve for x
    x = 437,362,824.95/32,378.10
  6. Step 6: Final answer
    x = 13,507.98

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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.