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Finding the Fourth Proportional to 109,646, 164,495 and 35,774

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Solution

The fourth proportional to 109,646, 164,495 and 35,774 is: 53,669.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,646 : 164,495 = 35,774 : x
  2. Step 2: Convert to fraction form
    109,646/164,495 = 35,774/x
  3. Step 3: Cross multiply
    109,646x = 164,495 × 35,774
  4. Step 4: Simplify right side
    109,646x = 5,884,644,130
  5. Step 5: Solve for x
    x = 5,884,644,130/109,646
  6. Step 6: Final answer
    x = 53,669.48

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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.