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Finding the Fourth Proportional to 109,661.64, 164,484 and 30,772.68

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Solution

The fourth proportional to 109,661.64, 164,484 and 30,772.68 is: 46,156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,661.64 : 164,484 = 30,772.68 : x
  2. Step 2: Convert to fraction form
    109,661.64/164,484 = 30,772.68/x
  3. Step 3: Cross multiply
    109,661.64x = 164,484 × 30,772.68
  4. Step 4: Simplify right side
    109,661.64x = 5,061,613,497.12
  5. Step 5: Solve for x
    x = 5,061,613,497.12/109,661.64
  6. Step 6: Final answer
    x = 46,156.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.