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Finding the Fourth Proportional to 35,999, 49,678.48 and 20,083.43

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Solution

The fourth proportional to 35,999, 49,678.48 and 20,083.43 is: 27,715.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,999 : 49,678.48 = 20,083.43 : x
  2. Step 2: Convert to fraction form
    35,999/49,678.48 = 20,083.43/x
  3. Step 3: Cross multiply
    35,999x = 49,678.48 × 20,083.43
  4. Step 4: Simplify right side
    35,999x = 997,714,275.59
  5. Step 5: Solve for x
    x = 997,714,275.59/35,999
  6. Step 6: Final answer
    x = 27,715.06

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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.