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Finding the Fourth Proportional to 40,543.36, 55,963.20 and 23,776

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Solution

The fourth proportional to 40,543.36, 55,963.20 and 23,776 is: 32,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,543.36 : 55,963.20 = 23,776 : x
  2. Step 2: Convert to fraction form
    40,543.36/55,963.20 = 23,776/x
  3. Step 3: Cross multiply
    40,543.36x = 55,963.20 × 23,776
  4. Step 4: Simplify right side
    40,543.36x = 1,330,581,043.20
  5. Step 5: Solve for x
    x = 1,330,581,043.20/40,543.36
  6. Step 6: Final answer
    x = 32,818.72

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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.