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Finding the Fourth Proportional to 56,464.49, 77,921.80 and 30,973.29

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Solution

The fourth proportional to 56,464.49, 77,921.80 and 30,973.29 is: 42,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,464.49 : 77,921.80 = 30,973.29 : x
  2. Step 2: Convert to fraction form
    56,464.49/77,921.80 = 30,973.29/x
  3. Step 3: Cross multiply
    56,464.49x = 77,921.80 × 30,973.29
  4. Step 4: Simplify right side
    56,464.49x = 2,413,494,139.08
  5. Step 5: Solve for x
    x = 2,413,494,139.08/56,464.49
  6. Step 6: Final answer
    x = 42,743.57

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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.