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Finding the Fourth Proportional to 35,949.12, 49,644 and 33,985.68

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Solution

The fourth proportional to 35,949.12, 49,644 and 33,985.68 is: 46,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,949.12 : 49,644 = 33,985.68 : x
  2. Step 2: Convert to fraction form
    35,949.12/49,644 = 33,985.68/x
  3. Step 3: Cross multiply
    35,949.12x = 49,644 × 33,985.68
  4. Step 4: Simplify right side
    35,949.12x = 1,687,185,097.92
  5. Step 5: Solve for x
    x = 1,687,185,097.92/35,949.12
  6. Step 6: Final answer
    x = 46,932.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.