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Finding the Fourth Proportional to 58,497.36, 80,720.97 and 35,826

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Solution

The fourth proportional to 58,497.36, 80,720.97 and 35,826 is: 49,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,497.36 : 80,720.97 = 35,826 : x
  2. Step 2: Convert to fraction form
    58,497.36/80,720.97 = 35,826/x
  3. Step 3: Cross multiply
    58,497.36x = 80,720.97 × 35,826
  4. Step 4: Simplify right side
    58,497.36x = 2,891,909,471.22
  5. Step 5: Solve for x
    x = 2,891,909,471.22/58,497.36
  6. Step 6: Final answer
    x = 49,436.58

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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.