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Finding the Fourth Proportional to 35,972.60, 49,642.25 and 20,058.06

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Solution

The fourth proportional to 35,972.60, 49,642.25 and 20,058.06 is: 27,680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,972.60 : 49,642.25 = 20,058.06 : x
  2. Step 2: Convert to fraction form
    35,972.60/49,642.25 = 20,058.06/x
  3. Step 3: Cross multiply
    35,972.60x = 49,642.25 × 20,058.06
  4. Step 4: Simplify right side
    35,972.60x = 995,727,128.74
  5. Step 5: Solve for x
    x = 995,727,128.74/35,972.60
  6. Step 6: Final answer
    x = 27,680.15

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