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Finding the Fourth Proportional to 56,007.81, 77,290.74 and 30,857.31

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Solution

The fourth proportional to 56,007.81, 77,290.74 and 30,857.31 is: 42,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,007.81 : 77,290.74 = 30,857.31 : x
  2. Step 2: Convert to fraction form
    56,007.81/77,290.74 = 30,857.31/x
  3. Step 3: Cross multiply
    56,007.81x = 77,290.74 × 30,857.31
  4. Step 4: Simplify right side
    56,007.81x = 2,384,984,324.31
  5. Step 5: Solve for x
    x = 2,384,984,324.31/56,007.81
  6. Step 6: Final answer
    x = 42,583.07

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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.