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Finding the Fourth Proportional to 30,765.84, 45,980.14 and 22,463.34

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Solution

The fourth proportional to 30,765.84, 45,980.14 and 22,463.34 is: 33,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.84 : 45,980.14 = 22,463.34 : x
  2. Step 2: Convert to fraction form
    30,765.84/45,980.14 = 22,463.34/x
  3. Step 3: Cross multiply
    30,765.84x = 45,980.14 × 22,463.34
  4. Step 4: Simplify right side
    30,765.84x = 1,032,867,405.75
  5. Step 5: Solve for x
    x = 1,032,867,405.75/30,765.84
  6. Step 6: Final answer
    x = 33,571.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.