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Finding the Fourth Proportional to 40,820.80, 56,338.86 and 24,914.49

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Solution

The fourth proportional to 40,820.80, 56,338.86 and 24,914.49 is: 34,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,820.80 : 56,338.86 = 24,914.49 : x
  2. Step 2: Convert to fraction form
    40,820.80/56,338.86 = 24,914.49/x
  3. Step 3: Cross multiply
    40,820.80x = 56,338.86 × 24,914.49
  4. Step 4: Simplify right side
    40,820.80x = 1,403,653,964.08
  5. Step 5: Solve for x
    x = 1,403,653,964.08/40,820.80
  6. Step 6: Final answer
    x = 34,385.75

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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.