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Finding the Fourth Proportional to 40,543.76, 55,959.72 and 23,782.16

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Solution

The fourth proportional to 40,543.76, 55,959.72 and 23,782.16 is: 32,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,543.76 : 55,959.72 = 23,782.16 : x
  2. Step 2: Convert to fraction form
    40,543.76/55,959.72 = 23,782.16/x
  3. Step 3: Cross multiply
    40,543.76x = 55,959.72 × 23,782.16
  4. Step 4: Simplify right side
    40,543.76x = 1,330,843,014.60
  5. Step 5: Solve for x
    x = 1,330,843,014.60/40,543.76
  6. Step 6: Final answer
    x = 32,824.85

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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.