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Finding the Fourth Proportional to 35,051.28, 48,370.72 and 22,476

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Solution

The fourth proportional to 35,051.28, 48,370.72 and 22,476 is: 31,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,051.28 : 48,370.72 = 22,476 : x
  2. Step 2: Convert to fraction form
    35,051.28/48,370.72 = 22,476/x
  3. Step 3: Cross multiply
    35,051.28x = 48,370.72 × 22,476
  4. Step 4: Simplify right side
    35,051.28x = 1,087,180,302.72
  5. Step 5: Solve for x
    x = 1,087,180,302.72/35,051.28
  6. Step 6: Final answer
    x = 31,016.85

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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.