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Finding the Fourth Proportional to 40,734.54, 56,213.16 and 22,829.52

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Solution

The fourth proportional to 40,734.54, 56,213.16 and 22,829.52 is: 31,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,734.54 : 56,213.16 = 22,829.52 : x
  2. Step 2: Convert to fraction form
    40,734.54/56,213.16 = 22,829.52/x
  3. Step 3: Cross multiply
    40,734.54x = 56,213.16 × 22,829.52
  4. Step 4: Simplify right side
    40,734.54x = 1,283,319,460.48
  5. Step 5: Solve for x
    x = 1,283,319,460.48/40,734.54
  6. Step 6: Final answer
    x = 31,504.45

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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.