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Finding the Fourth Proportional to 65,080.65, 97,558.10 and 53,259.92

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Solution

The fourth proportional to 65,080.65, 97,558.10 and 53,259.92 is: 79,838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,080.65 : 97,558.10 = 53,259.92 : x
  2. Step 2: Convert to fraction form
    65,080.65/97,558.10 = 53,259.92/x
  3. Step 3: Cross multiply
    65,080.65x = 97,558.10 × 53,259.92
  4. Step 4: Simplify right side
    65,080.65x = 5,195,936,601.35
  5. Step 5: Solve for x
    x = 5,195,936,601.35/65,080.65
  6. Step 6: Final answer
    x = 79,838.43

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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.