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Finding the Fourth Proportional to 65,907.68, 90,952.62 and 36,099.68

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Solution

The fourth proportional to 65,907.68, 90,952.62 and 36,099.68 is: 49,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,907.68 : 90,952.62 = 36,099.68 : x
  2. Step 2: Convert to fraction form
    65,907.68/90,952.62 = 36,099.68/x
  3. Step 3: Cross multiply
    65,907.68x = 90,952.62 × 36,099.68
  4. Step 4: Simplify right side
    65,907.68x = 3,283,360,477.16
  5. Step 5: Solve for x
    x = 3,283,360,477.16/65,907.68
  6. Step 6: Final answer
    x = 49,817.57

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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.