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Finding the Fourth Proportional to 29,657.46, 40,877.42 and 22,485

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Solution

The fourth proportional to 29,657.46, 40,877.42 and 22,485 is: 30,991.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,657.46 : 40,877.42 = 22,485 : x
  2. Step 2: Convert to fraction form
    29,657.46/40,877.42 = 22,485/x
  3. Step 3: Cross multiply
    29,657.46x = 40,877.42 × 22,485
  4. Step 4: Simplify right side
    29,657.46x = 919,128,676.28
  5. Step 5: Solve for x
    x = 919,128,676.28/29,657.46
  6. Step 6: Final answer
    x = 30,991.48

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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.