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Finding the Fourth Proportional to 53,242.50, 73,479.60 and 30,584.64

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Solution

The fourth proportional to 53,242.50, 73,479.60 and 30,584.64 is: 42,209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,242.50 : 73,479.60 = 30,584.64 : x
  2. Step 2: Convert to fraction form
    53,242.50/73,479.60 = 30,584.64/x
  3. Step 3: Cross multiply
    53,242.50x = 73,479.60 × 30,584.64
  4. Step 4: Simplify right side
    53,242.50x = 2,247,347,113.34
  5. Step 5: Solve for x
    x = 2,247,347,113.34/53,242.50
  6. Step 6: Final answer
    x = 42,209.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.