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Finding the Fourth Proportional to 50,871.32, 70,198.62 and 28,511

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Solution

The fourth proportional to 50,871.32, 70,198.62 and 28,511 is: 39,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,871.32 : 70,198.62 = 28,511 : x
  2. Step 2: Convert to fraction form
    50,871.32/70,198.62 = 28,511/x
  3. Step 3: Cross multiply
    50,871.32x = 70,198.62 × 28,511
  4. Step 4: Simplify right side
    50,871.32x = 2,001,432,854.82
  5. Step 5: Solve for x
    x = 2,001,432,854.82/50,871.32
  6. Step 6: Final answer
    x = 39,343.05

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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.