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Finding the Fourth Proportional to 30,538.60, 45,767.82 and 22,133.32

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Solution

The fourth proportional to 30,538.60, 45,767.82 and 22,133.32 is: 33,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.60 : 45,767.82 = 22,133.32 : x
  2. Step 2: Convert to fraction form
    30,538.60/45,767.82 = 22,133.32/x
  3. Step 3: Cross multiply
    30,538.60x = 45,767.82 × 22,133.32
  4. Step 4: Simplify right side
    30,538.60x = 1,012,993,805.76
  5. Step 5: Solve for x
    x = 1,012,993,805.76/30,538.60
  6. Step 6: Final answer
    x = 33,170.93

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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.