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Finding the Fourth Proportional to 35,934.30, 53,911.95 and 10,634.49

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Solution

The fourth proportional to 35,934.30, 53,911.95 and 10,634.49 is: 15,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,934.30 : 53,911.95 = 10,634.49 : x
  2. Step 2: Convert to fraction form
    35,934.30/53,911.95 = 10,634.49/x
  3. Step 3: Cross multiply
    35,934.30x = 53,911.95 × 10,634.49
  4. Step 4: Simplify right side
    35,934.30x = 573,326,053.28
  5. Step 5: Solve for x
    x = 573,326,053.28/35,934.30
  6. Step 6: Final answer
    x = 15,954.84

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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.