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Finding the Fourth Proportional to 65,039.46, 97,559.21 and 18,292.33

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Solution

The fourth proportional to 65,039.46, 97,559.21 and 18,292.33 is: 27,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,039.46 : 97,559.21 = 18,292.33 : x
  2. Step 2: Convert to fraction form
    65,039.46/97,559.21 = 18,292.33/x
  3. Step 3: Cross multiply
    65,039.46x = 97,559.21 × 18,292.33
  4. Step 4: Simplify right side
    65,039.46x = 1,784,585,263.86
  5. Step 5: Solve for x
    x = 1,784,585,263.86/65,039.46
  6. Step 6: Final answer
    x = 27,438.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.