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Finding the Fourth Proportional to 35,304.12, 48,722.30 and 21,878

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Solution

The fourth proportional to 35,304.12, 48,722.30 and 21,878 is: 30,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,304.12 : 48,722.30 = 21,878 : x
  2. Step 2: Convert to fraction form
    35,304.12/48,722.30 = 21,878/x
  3. Step 3: Cross multiply
    35,304.12x = 48,722.30 × 21,878
  4. Step 4: Simplify right side
    35,304.12x = 1,065,946,479.40
  5. Step 5: Solve for x
    x = 1,065,946,479.40/35,304.12
  6. Step 6: Final answer
    x = 30,193.26

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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.