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Finding the Fourth Proportional to 40,415.36, 55,776 and 24,500.48

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Solution

The fourth proportional to 40,415.36, 55,776 and 24,500.48 is: 33,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,415.36 : 55,776 = 24,500.48 : x
  2. Step 2: Convert to fraction form
    40,415.36/55,776 = 24,500.48/x
  3. Step 3: Cross multiply
    40,415.36x = 55,776 × 24,500.48
  4. Step 4: Simplify right side
    40,415.36x = 1,366,538,772.48
  5. Step 5: Solve for x
    x = 1,366,538,772.48/40,415.36
  6. Step 6: Final answer
    x = 33,812.36

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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.