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Finding the Fourth Proportional to 55,964.66, 77,229.32 and 30,470.58

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Solution

The fourth proportional to 55,964.66, 77,229.32 and 30,470.58 is: 42,048.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,964.66 : 77,229.32 = 30,470.58 : x
  2. Step 2: Convert to fraction form
    55,964.66/77,229.32 = 30,470.58/x
  3. Step 3: Cross multiply
    55,964.66x = 77,229.32 × 30,470.58
  4. Step 4: Simplify right side
    55,964.66x = 2,353,222,021.05
  5. Step 5: Solve for x
    x = 2,353,222,021.05/55,964.66
  6. Step 6: Final answer
    x = 42,048.36

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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.