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Finding the Fourth Proportional to 65,790, 90,790.56 and 35,982

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Solution

The fourth proportional to 65,790, 90,790.56 and 35,982 is: 49,655.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,790 : 90,790.56 = 35,982 : x
  2. Step 2: Convert to fraction form
    65,790/90,790.56 = 35,982/x
  3. Step 3: Cross multiply
    65,790x = 90,790.56 × 35,982
  4. Step 4: Simplify right side
    65,790x = 3,266,825,929.92
  5. Step 5: Solve for x
    x = 3,266,825,929.92/65,790
  6. Step 6: Final answer
    x = 49,655.36

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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.