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Finding the Fourth Proportional to 65,057.97, 97,586.96 and 20,684.72

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Solution

The fourth proportional to 65,057.97, 97,586.96 and 20,684.72 is: 31,027.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,057.97 : 97,586.96 = 20,684.72 : x
  2. Step 2: Convert to fraction form
    65,057.97/97,586.96 = 20,684.72/x
  3. Step 3: Cross multiply
    65,057.97x = 97,586.96 × 20,684.72
  4. Step 4: Simplify right side
    65,057.97x = 2,018,558,943.25
  5. Step 5: Solve for x
    x = 2,018,558,943.25/65,057.97
  6. Step 6: Final answer
    x = 31,027.08

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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.