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Finding the Fourth Proportional to 101,070, 151,638.48 and 30,949.92

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Solution

The fourth proportional to 101,070, 151,638.48 and 30,949.92 is: 46,435.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,070 : 151,638.48 = 30,949.92 : x
  2. Step 2: Convert to fraction form
    101,070/151,638.48 = 30,949.92/x
  3. Step 3: Cross multiply
    101,070x = 151,638.48 × 30,949.92
  4. Step 4: Simplify right side
    101,070x = 4,693,198,824.92
  5. Step 5: Solve for x
    x = 4,693,198,824.92/101,070
  6. Step 6: Final answer
    x = 46,435.13

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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.