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Finding the Fourth Proportional to 109,835.38, 164,720.78 and 46,655

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Solution

The fourth proportional to 109,835.38, 164,720.78 and 46,655 is: 69,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,835.38 : 164,720.78 = 46,655 : x
  2. Step 2: Convert to fraction form
    109,835.38/164,720.78 = 46,655/x
  3. Step 3: Cross multiply
    109,835.38x = 164,720.78 × 46,655
  4. Step 4: Simplify right side
    109,835.38x = 7,685,047,757.63
  5. Step 5: Solve for x
    x = 7,685,047,757.63/109,835.38
  6. Step 6: Final answer
    x = 69,968.78

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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.