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Finding the Fourth Proportional to 109,735.65, 164,603.48 and 30,849.88

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Solution

The fourth proportional to 109,735.65, 164,603.48 and 30,849.88 is: 46,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,735.65 : 164,603.48 = 30,849.88 : x
  2. Step 2: Convert to fraction form
    109,735.65/164,603.48 = 30,849.88/x
  3. Step 3: Cross multiply
    109,735.65x = 164,603.48 × 30,849.88
  4. Step 4: Simplify right side
    109,735.65x = 5,077,997,039.82
  5. Step 5: Solve for x
    x = 5,077,997,039.82/109,735.65
  6. Step 6: Final answer
    x = 46,274.82

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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.