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Finding the Fourth Proportional to 32,976.72, 45,509.04 and 23,567.76

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Solution

The fourth proportional to 32,976.72, 45,509.04 and 23,567.76 is: 32,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,976.72 : 45,509.04 = 23,567.76 : x
  2. Step 2: Convert to fraction form
    32,976.72/45,509.04 = 23,567.76/x
  3. Step 3: Cross multiply
    32,976.72x = 45,509.04 × 23,567.76
  4. Step 4: Simplify right side
    32,976.72x = 1,072,546,132.55
  5. Step 5: Solve for x
    x = 1,072,546,132.55/32,976.72
  6. Step 6: Final answer
    x = 32,524.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.