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Finding the Fourth Proportional to 28,651.92, 42,682.40 and 27,781.32

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Solution

The fourth proportional to 28,651.92, 42,682.40 and 27,781.32 is: 41,385.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,651.92 : 42,682.40 = 27,781.32 : x
  2. Step 2: Convert to fraction form
    28,651.92/42,682.40 = 27,781.32/x
  3. Step 3: Cross multiply
    28,651.92x = 42,682.40 × 27,781.32
  4. Step 4: Simplify right side
    28,651.92x = 1,185,773,412.77
  5. Step 5: Solve for x
    x = 1,185,773,412.77/28,651.92
  6. Step 6: Final answer
    x = 41,385.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.