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Finding the Fourth Proportional to 35,776.80, 49,364.64 and 21,630.24

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Solution

The fourth proportional to 35,776.80, 49,364.64 and 21,630.24 is: 29,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,776.80 : 49,364.64 = 21,630.24 : x
  2. Step 2: Convert to fraction form
    35,776.80/49,364.64 = 21,630.24/x
  3. Step 3: Cross multiply
    35,776.80x = 49,364.64 × 21,630.24
  4. Step 4: Simplify right side
    35,776.80x = 1,067,769,010.71
  5. Step 5: Solve for x
    x = 1,067,769,010.71/35,776.80
  6. Step 6: Final answer
    x = 29,845.29

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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.