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Finding the Fourth Proportional to 50,796, 76,228.56 and 30,549.24

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Solution

The fourth proportional to 50,796, 76,228.56 and 30,549.24 is: 45,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,796 : 76,228.56 = 30,549.24 : x
  2. Step 2: Convert to fraction form
    50,796/76,228.56 = 30,549.24/x
  3. Step 3: Cross multiply
    50,796x = 76,228.56 × 30,549.24
  4. Step 4: Simplify right side
    50,796x = 2,328,724,574.29
  5. Step 5: Solve for x
    x = 2,328,724,574.29/50,796
  6. Step 6: Final answer
    x = 45,844.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.