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Finding the Fourth Proportional to 109,513.64, 164,298.24 and 30,628.28

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Solution

The fourth proportional to 109,513.64, 164,298.24 and 30,628.28 is: 45,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,513.64 : 164,298.24 = 30,628.28 : x
  2. Step 2: Convert to fraction form
    109,513.64/164,298.24 = 30,628.28/x
  3. Step 3: Cross multiply
    109,513.64x = 164,298.24 × 30,628.28
  4. Step 4: Simplify right side
    109,513.64x = 5,032,172,498.23
  5. Step 5: Solve for x
    x = 5,032,172,498.23/109,513.64
  6. Step 6: Final answer
    x = 45,950.19

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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.