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Finding the Fourth Proportional to 43,762.80, 65,723.40 and 38,319.60

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Solution

The fourth proportional to 43,762.80, 65,723.40 and 38,319.60 is: 57,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,762.80 : 65,723.40 = 38,319.60 : x
  2. Step 2: Convert to fraction form
    43,762.80/65,723.40 = 38,319.60/x
  3. Step 3: Cross multiply
    43,762.80x = 65,723.40 × 38,319.60
  4. Step 4: Simplify right side
    43,762.80x = 2,518,494,398.64
  5. Step 5: Solve for x
    x = 2,518,494,398.64/43,762.80
  6. Step 6: Final answer
    x = 57,548.75

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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.