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Finding the Fourth Proportional to 65,097.73, 89,835.43 and 36,417.95

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Solution

The fourth proportional to 65,097.73, 89,835.43 and 36,417.95 is: 50,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097.73 : 89,835.43 = 36,417.95 : x
  2. Step 2: Convert to fraction form
    65,097.73/89,835.43 = 36,417.95/x
  3. Step 3: Cross multiply
    65,097.73x = 89,835.43 × 36,417.95
  4. Step 4: Simplify right side
    65,097.73x = 3,271,622,568.24
  5. Step 5: Solve for x
    x = 3,271,622,568.24/65,097.73
  6. Step 6: Final answer
    x = 50,257.09

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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.