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Finding the Fourth Proportional to 65,757.78, 98,478.50 and 37,592.46

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Solution

The fourth proportional to 65,757.78, 98,478.50 and 37,592.46 is: 56,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,757.78 : 98,478.50 = 37,592.46 : x
  2. Step 2: Convert to fraction form
    65,757.78/98,478.50 = 37,592.46/x
  3. Step 3: Cross multiply
    65,757.78x = 98,478.50 × 37,592.46
  4. Step 4: Simplify right side
    65,757.78x = 3,702,049,072.11
  5. Step 5: Solve for x
    x = 3,702,049,072.11/65,757.78
  6. Step 6: Final answer
    x = 56,298.27

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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.