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Finding the Fourth Proportional to 72,709.41, 109,066.55 and 20,114.49

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Solution

The fourth proportional to 72,709.41, 109,066.55 and 20,114.49 is: 30,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,709.41 : 109,066.55 = 20,114.49 : x
  2. Step 2: Convert to fraction form
    72,709.41/109,066.55 = 20,114.49/x
  3. Step 3: Cross multiply
    72,709.41x = 109,066.55 × 20,114.49
  4. Step 4: Simplify right side
    72,709.41x = 2,193,817,979.02
  5. Step 5: Solve for x
    x = 2,193,817,979.02/72,709.41
  6. Step 6: Final answer
    x = 30,172.41

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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.