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Finding the Fourth Proportional to 43,823.40, 65,735.10 and 36,533.40

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Solution

The fourth proportional to 43,823.40, 65,735.10 and 36,533.40 is: 54,800.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,823.40 : 65,735.10 = 36,533.40 : x
  2. Step 2: Convert to fraction form
    43,823.40/65,735.10 = 36,533.40/x
  3. Step 3: Cross multiply
    43,823.40x = 65,735.10 × 36,533.40
  4. Step 4: Simplify right side
    43,823.40x = 2,401,526,702.34
  5. Step 5: Solve for x
    x = 2,401,526,702.34/43,823.40
  6. Step 6: Final answer
    x = 54,800.10

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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.