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Finding the Fourth Proportional to 40,973.50, 56,542.50 and 22,824.10

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Solution

The fourth proportional to 40,973.50, 56,542.50 and 22,824.10 is: 31,496.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,973.50 : 56,542.50 = 22,824.10 : x
  2. Step 2: Convert to fraction form
    40,973.50/56,542.50 = 22,824.10/x
  3. Step 3: Cross multiply
    40,973.50x = 56,542.50 × 22,824.10
  4. Step 4: Simplify right side
    40,973.50x = 1,290,531,674.25
  5. Step 5: Solve for x
    x = 1,290,531,674.25/40,973.50
  6. Step 6: Final answer
    x = 31,496.74

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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.