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Finding the Fourth Proportional to 65,189.20, 97,871.80 and 41,861.20

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Solution

The fourth proportional to 65,189.20, 97,871.80 and 41,861.20 is: 62,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,189.20 : 97,871.80 = 41,861.20 : x
  2. Step 2: Convert to fraction form
    65,189.20/97,871.80 = 41,861.20/x
  3. Step 3: Cross multiply
    65,189.20x = 97,871.80 × 41,861.20
  4. Step 4: Simplify right side
    65,189.20x = 4,097,030,994.16
  5. Step 5: Solve for x
    x = 4,097,030,994.16/65,189.20
  6. Step 6: Final answer
    x = 62,848.31

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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.