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Finding the Fourth Proportional to 30,634.20, 42,946.20 and 30,634.20

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Solution

The fourth proportional to 30,634.20, 42,946.20 and 30,634.20 is: 42,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,634.20 : 42,946.20 = 30,634.20 : x
  2. Step 2: Convert to fraction form
    30,634.20/42,946.20 = 30,634.20/x
  3. Step 3: Cross multiply
    30,634.20x = 42,946.20 × 30,634.20
  4. Step 4: Simplify right side
    30,634.20x = 1,315,622,480.04
  5. Step 5: Solve for x
    x = 1,315,622,480.04/30,634.20
  6. Step 6: Final answer
    x = 42,946.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.