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Finding the Fourth Proportional to 40,415.32, 55,772.76 and 22,509.28

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Solution

The fourth proportional to 40,415.32, 55,772.76 and 22,509.28 is: 31,062.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,415.32 : 55,772.76 = 22,509.28 : x
  2. Step 2: Convert to fraction form
    40,415.32/55,772.76 = 22,509.28/x
  3. Step 3: Cross multiply
    40,415.32x = 55,772.76 × 22,509.28
  4. Step 4: Simplify right side
    40,415.32x = 1,255,404,671.21
  5. Step 5: Solve for x
    x = 1,255,404,671.21/40,415.32
  6. Step 6: Final answer
    x = 31,062.59

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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.