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Finding the Fourth Proportional to 35,276.24, 48,675.72 and 22,718

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Solution

The fourth proportional to 35,276.24, 48,675.72 and 22,718 is: 31,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,276.24 : 48,675.72 = 22,718 : x
  2. Step 2: Convert to fraction form
    35,276.24/48,675.72 = 22,718/x
  3. Step 3: Cross multiply
    35,276.24x = 48,675.72 × 22,718
  4. Step 4: Simplify right side
    35,276.24x = 1,105,815,006.96
  5. Step 5: Solve for x
    x = 1,105,815,006.96/35,276.24
  6. Step 6: Final answer
    x = 31,347.30

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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.