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Finding the Fourth Proportional to 35,714.67, 49,285.17 and 19,798.17

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Solution

The fourth proportional to 35,714.67, 49,285.17 and 19,798.17 is: 27,320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.67 : 49,285.17 = 19,798.17 : x
  2. Step 2: Convert to fraction form
    35,714.67/49,285.17 = 19,798.17/x
  3. Step 3: Cross multiply
    35,714.67x = 49,285.17 × 19,798.17
  4. Step 4: Simplify right side
    35,714.67x = 975,756,174.14
  5. Step 5: Solve for x
    x = 975,756,174.14/35,714.67
  6. Step 6: Final answer
    x = 27,320.88

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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.