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Finding the Fourth Proportional to 65,212.96, 97,731.84 and 35,586.40

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Solution

The fourth proportional to 65,212.96, 97,731.84 and 35,586.40 is: 53,331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.96 : 97,731.84 = 35,586.40 : x
  2. Step 2: Convert to fraction form
    65,212.96/97,731.84 = 35,586.40/x
  3. Step 3: Cross multiply
    65,212.96x = 97,731.84 × 35,586.40
  4. Step 4: Simplify right side
    65,212.96x = 3,477,924,350.98
  5. Step 5: Solve for x
    x = 3,477,924,350.98/65,212.96
  6. Step 6: Final answer
    x = 53,331.80

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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.