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Finding the Fourth Proportional to 35,983.32, 49,657.62 and 20,066.06

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Solution

The fourth proportional to 35,983.32, 49,657.62 and 20,066.06 is: 27,691.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,983.32 : 49,657.62 = 20,066.06 : x
  2. Step 2: Convert to fraction form
    35,983.32/49,657.62 = 20,066.06/x
  3. Step 3: Cross multiply
    35,983.32x = 49,657.62 × 20,066.06
  4. Step 4: Simplify right side
    35,983.32x = 996,432,782.38
  5. Step 5: Solve for x
    x = 996,432,782.38/35,983.32
  6. Step 6: Final answer
    x = 27,691.52

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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.