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Finding the Fourth Proportional to 32,509.70, 48,771.36 and 18,476.24

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Solution

The fourth proportional to 32,509.70, 48,771.36 and 18,476.24 is: 27,718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.70 : 48,771.36 = 18,476.24 : x
  2. Step 2: Convert to fraction form
    32,509.70/48,771.36 = 18,476.24/x
  3. Step 3: Cross multiply
    32,509.70x = 48,771.36 × 18,476.24
  4. Step 4: Simplify right side
    32,509.70x = 901,111,352.49
  5. Step 5: Solve for x
    x = 901,111,352.49/32,509.70
  6. Step 6: Final answer
    x = 27,718.23

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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.