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Finding the Fourth Proportional to 65,618, 90,553.16 and 35,810

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Solution

The fourth proportional to 65,618, 90,553.16 and 35,810 is: 49,417.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,618 : 90,553.16 = 35,810 : x
  2. Step 2: Convert to fraction form
    65,618/90,553.16 = 35,810/x
  3. Step 3: Cross multiply
    65,618x = 90,553.16 × 35,810
  4. Step 4: Simplify right side
    65,618x = 3,242,708,659.60
  5. Step 5: Solve for x
    x = 3,242,708,659.60/65,618
  6. Step 6: Final answer
    x = 49,417.97

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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.