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Finding the Fourth Proportional to 30,797.72, 42,485.57 and 19,892.10

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Solution

The fourth proportional to 30,797.72, 42,485.57 and 19,892.10 is: 27,441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,797.72 : 42,485.57 = 19,892.10 : x
  2. Step 2: Convert to fraction form
    30,797.72/42,485.57 = 19,892.10/x
  3. Step 3: Cross multiply
    30,797.72x = 42,485.57 × 19,892.10
  4. Step 4: Simplify right side
    30,797.72x = 845,127,341.45
  5. Step 5: Solve for x
    x = 845,127,341.45/30,797.72
  6. Step 6: Final answer
    x = 27,441.23

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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.