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Finding the Fourth Proportional to 45,142.80, 62,232.14 and 31,672.32

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Solution

The fourth proportional to 45,142.80, 62,232.14 and 31,672.32 is: 43,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,142.80 : 62,232.14 = 31,672.32 : x
  2. Step 2: Convert to fraction form
    45,142.80/62,232.14 = 31,672.32/x
  3. Step 3: Cross multiply
    45,142.80x = 62,232.14 × 31,672.32
  4. Step 4: Simplify right side
    45,142.80x = 1,971,036,252.36
  5. Step 5: Solve for x
    x = 1,971,036,252.36/45,142.80
  6. Step 6: Final answer
    x = 43,662.25

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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.