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Finding the Fourth Proportional to 70,066, 105,097.28 and 20,146.24

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Solution

The fourth proportional to 70,066, 105,097.28 and 20,146.24 is: 30,218.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,066 : 105,097.28 = 20,146.24 : x
  2. Step 2: Convert to fraction form
    70,066/105,097.28 = 20,146.24/x
  3. Step 3: Cross multiply
    70,066x = 105,097.28 × 20,146.24
  4. Step 4: Simplify right side
    70,066x = 2,117,315,026.23
  5. Step 5: Solve for x
    x = 2,117,315,026.23/70,066
  6. Step 6: Final answer
    x = 30,218.87

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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.