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Finding the Fourth Proportional to 30,142.64, 45,217.32 and 10,418.96

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Solution

The fourth proportional to 30,142.64, 45,217.32 and 10,418.96 is: 15,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.64 : 45,217.32 = 10,418.96 : x
  2. Step 2: Convert to fraction form
    30,142.64/45,217.32 = 10,418.96/x
  3. Step 3: Cross multiply
    30,142.64x = 45,217.32 × 10,418.96
  4. Step 4: Simplify right side
    30,142.64x = 471,117,448.39
  5. Step 5: Solve for x
    x = 471,117,448.39/30,142.64
  6. Step 6: Final answer
    x = 15,629.60

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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.