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Finding the Fourth Proportional to 35,435.97, 48,884.58 and 22,023

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Solution

The fourth proportional to 35,435.97, 48,884.58 and 22,023 is: 30,381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,435.97 : 48,884.58 = 22,023 : x
  2. Step 2: Convert to fraction form
    35,435.97/48,884.58 = 22,023/x
  3. Step 3: Cross multiply
    35,435.97x = 48,884.58 × 22,023
  4. Step 4: Simplify right side
    35,435.97x = 1,076,585,105.34
  5. Step 5: Solve for x
    x = 1,076,585,105.34/35,435.97
  6. Step 6: Final answer
    x = 30,381.14

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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.