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Finding the Fourth Proportional to 64,684.89, 89,232.48 and 37,809.84

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Solution

The fourth proportional to 64,684.89, 89,232.48 and 37,809.84 is: 52,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,684.89 : 89,232.48 = 37,809.84 : x
  2. Step 2: Convert to fraction form
    64,684.89/89,232.48 = 37,809.84/x
  3. Step 3: Cross multiply
    64,684.89x = 89,232.48 × 37,809.84
  4. Step 4: Simplify right side
    64,684.89x = 3,373,865,791.60
  5. Step 5: Solve for x
    x = 3,373,865,791.60/64,684.89
  6. Step 6: Final answer
    x = 52,158.48

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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.