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Finding the Fourth Proportional to 30,969.93, 42,756.23 and 20,390.32

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Solution

The fourth proportional to 30,969.93, 42,756.23 and 20,390.32 is: 28,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.93 : 42,756.23 = 20,390.32 : x
  2. Step 2: Convert to fraction form
    30,969.93/42,756.23 = 20,390.32/x
  3. Step 3: Cross multiply
    30,969.93x = 42,756.23 × 20,390.32
  4. Step 4: Simplify right side
    30,969.93x = 871,812,997.91
  5. Step 5: Solve for x
    x = 871,812,997.91/30,969.93
  6. Step 6: Final answer
    x = 28,150.31

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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.