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Finding the Fourth Proportional to 35,714.62, 49,282.84 and 19,797.70

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Solution

The fourth proportional to 35,714.62, 49,282.84 and 19,797.70 is: 27,318.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.62 : 49,282.84 = 19,797.70 : x
  2. Step 2: Convert to fraction form
    35,714.62/49,282.84 = 19,797.70/x
  3. Step 3: Cross multiply
    35,714.62x = 49,282.84 × 19,797.70
  4. Step 4: Simplify right side
    35,714.62x = 975,686,881.47
  5. Step 5: Solve for x
    x = 975,686,881.47/35,714.62
  6. Step 6: Final answer
    x = 27,318.98

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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.